The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?

Answers

Answer 1

Answer: y = -2x + 8

Step-by-step explanation:

gradient = change in y/ change in x = 8/-4 = -2

y = -2x + c

substitute values in

8 = 0 + c

c = 8

y = -2x + 8

Answer 2

The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

How to find the equation of a line

The line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b

m is the slopeb is the y-intercept

Find the slope

Slope = -8/4
Slope = -2

Determine the y-intercept

Since the y-intercept is the point where the line cross the y-axis, hence b = 8.

FInd the required equation

y = -2x + 8

Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

Learn more on equation of a line here: https://brainly.com/question/18831322


Related Questions

Hello can you please help me with this question

Answers

Answer:

A

Step-by-step explanation:

...

The answer for this is a

Write 110% as a mixed number in simplest form.

110% = $$

Answers

Answer:

50

Step-by-step explanation:

Answer the following.
1 Bharat borrows a certain sum of money at
5% pa. If he pays 2000 as simple interest
at the end of the first year, find the sum he
borrowed

Answers

Answer:

40000

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the amount borrowed , R is the interest and T the time in years

Here I = 2000 , R = 5 and T = 1 with P to be found , then

2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )

5P = 200000 ( divide both sides by 5 )

P = 40000

Answer:

The sum (Principal) is Rs.4000.

Step-by-step explanation:

Given :

Simple interest = Rs.2000Time = 5% per annum Time = 1 year

To Find :

Principle

Using Formula :

[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]

S.I = Simple Interest P = Principle R = Rate T = Time

Solution :

Substituting all the given values in the formula to find the Simple Interest :

[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]

[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]

Hence, the sum Bharat borrowed is Rs.40000.

[tex] \rule{190}1[/tex]

im having a mental breakdown can someone please just do this for me

Answers

the slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).

when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).

because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.

with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).

with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.

Answer:

it only changes the magnitude.

for any general a let f(x) be =a|x| , a>0

so for any x say ±3 your function will throw out a×3.

The equation y=1/8xrelates proportional quantities x and y. What is the value of x when y is 6?

Answers

Answer:

48

Step-by-step explanation:

6 = 1/8x

x = 48

1
A line has a slope of -2 and a y-intercept of -2.

What is the x-intercept of the line?
A -4
B -1
C 1
D 4

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = - 2 , then

y = - 2x - 2 ← is the equation of the line

To find the x- intercept let y = 0 in the equation and solve for x , that is

- 2x - 2 = 0 ( add 2 to both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

The x- intercept is - 1 → B

Please help
The question is in the picture

Answers

Answer:

A

Step-by-step explanation:

90/2 = 45

45/2 = 22.5

please help again forgot everything

Answers

Answer:

a

Step-by-step explanation:

to find a proportion they must equal each other

8/4 in its simplest form is just 2

to make r/3 = 2 r must be 6

6/3 is 2

Help me solve these

Answers

Answer:

hello  you need to tell me the equation not the worksheet

Step-by-step explanation:

put b for everything‍️

Which of the following is a reason to establish a good credit history?

Answers

Where are the options

4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form

Answers

n= 340.36, 4/7 + 21/30 times (84 + 184)= 340.36

if a = 3y + 4z and b = z - 2y, then what is the value of a + b?

Answers

Answer:

y + 5z

Step-by-step explanation:

Hope this helps!

need helpppppp plz .

Answers

Answer:

A) x=10

Step-by-step explanation:

All the angles in a triangle will add to equal 180°.

Knowing this, we can set up an equation.

(8x+5) + (5x-1) + (4x+6)= 180°

In order to solve, we must first combine like terms. (These can be found on the left side of the equation).

8x+5x+4x= 17x

5+ (-1) + 6= 10

We can now rewrite our equation as follows:

17x+10=180°

Subtract 10 from both sides.

17x+10=180°

    - 10   -10

17x=170°

Divide by 17 on both sides.

17x=170°

----   -----

17      17

x= 10°

The answer is x=10°.


Which graph represents a function???

Answers

Answer:

C

Step-by-step explanation:

C is the only graph that passes the vertical line test.

Answer:

c

Step-by-step explanation:

The line doesn't cross eachother

point:(-5,1); slope: -
4
write in point-slope form:

Answers

Answer:

y-1=-4(x+5)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-4(x-(-5))

y-1=-4(x+5)

Answer: y - 1 = -4(x + 5)

Step-by-step explanation:

      The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.

      Using the formula, we will plug in our known values to write our equation.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - (1) = (-4)(x - (-5))

y - 1 = -4(x + 5)

        However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;

                      y - 1 = [tex]\frac{1}{4}[/tex](x + 5)

graph 56x- 19= -8y + 5

Answers

Answer/Step-by-step explanation:

Solve

Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:

[tex]56x-19=-8y+5[/tex]

[tex]56x-19+19=-8y+5+19[/tex]                           [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]                                            

[tex]56x=-8y+24[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex]                                                 [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{56x}{56} = x\: (\mathrm{or}\: 1)[/tex][tex]-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{-8y+24}{56}[/tex][tex]\mathrm{Factor\:-8y+24}\\\mathrm{Rewrite\:as}\\=-8y+8\cdot \:3\\\mathrm{Factor\:out\:the\:common\:term\:8}\\=8\left(-y+3\right)\\\\=\frac{8\left(-y+3\right)}{56}\\\mathrm{Cancel\:the\:common\:factor:}\:8\\=\frac{-y+3}{7}[/tex]

[tex]\bold{x=\frac{-y+3}{7}}[/tex]

Graph

Now, we can graph. Graph the line using the slope and y-intercept, or two points.

[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]

[tex]x\\0\\1[/tex]   [tex]y\\3\\-4[/tex]

Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)

Answers

Answer:

y = -29/19  and x = -44/19

Step-by-step explanation:

3x + 2y = -10    multiply by -2  ⇔    -6x -  4y = 20

2x - 5y = 3       multiply by 3   ⇔      6x - 15y = 9    

Add the two equation                             -19y = 29

                                                                       y =  -29/19

Use equation one and solve for x

3x + 2(-29/19) = -10

3x - 58/19 = -10

3x = -10 + 58/19

3x = -190/19 + 58/19

3x = (-190 + 58)/19

  3x = -132/19

    x =  - 132/ 19 ÷3                           [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]

    x =  -44/19

ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,
BC=5 cm. Find AB and XZ. (No links pls...)

Answers

Answer:

See below

Step-by-step explanation:

Since B is the right angle, AC is the opposite side - hypotenuse.

Use Pythagorean and find the missing side, AB:

[tex]AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm[/tex]

There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.

If the scale factor was given as k, then XZ would be:

XZ = k*BC = 5k

how old are you android phone is not

Answers

Answer:

I am 14 years old

Step-by-step explanation:

I don’t have a android

PLSSSS HELPPPP ASAPPPP. REWARDING BRAINLIEST. PLS SHOW WORK

3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.

Answers

Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

What is the value of i 20+1?
1
–1
–i
i

Answers

Answer:

2

Step-by-step explanation:

i^2 = -1

i^4 = 1

i^20 repeats the cycle 5 times, making i^20 = 1

Answer:

the answer is D) i

Step-by-step explanation: i got it wrong to the bozo who said 1 and it says the answer is i

I want help its urgent!!!

(iv), (v), (vi) Questions​

Answers

Solution:

iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]

Since we are given two variables, we need to split the original expression into two quadratic expressions as

[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]

Factoring x first:

[tex]x^{2} - 4x + 4 =[/tex] [tex]x^{2} - 2x - 2x + 4[/tex]

= [tex]x (x - 2) - 2 (x-2)[/tex]

= [tex](x-2)(x-2)[/tex]

[tex]= (x-2)^{2}[/tex]

Factoring y now:

[tex]-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)[/tex]

= [tex]-1(y^{2} + y + y + 1)[/tex]

= [tex]-1[ y(y+1) + 1(y+1)][/tex]

= [tex]-1 [(y+1)(y+1)][/tex]

= [tex](y+1)(-y-1)[/tex]

Therefore, the original expression becomes

[tex](x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)[/tex]

which value of the variable m satisfies the equation 20 = -2(4m - 5)

Answers

Answer:

m = - 1.25

Step-by-step explanation:

20 = - 2(4m - 5) ← divide both sides by - 2

- 10 = 4m - 5 ( add 5 to both sides )

- 5 = 4m ( divide both sides by 4 )

- [tex]\frac{5}{4}[/tex] = m , that is

m = - 1.25

What is a good estimate for 380% of 20

Answers

Answer:

380 divided by 20 is your answer

Step-by-step explanation:

Answer:

The answer is 76. The estimation would be 80.

Step-by-step explanation:

identify the transformation performed on the figure below

Answers

A) Translation

hope this helps!

Answer:

translation

Step-by-step explanation:

this is a translation because every point of the shape remain in the same position as it is moved.

36 ÷ ____ = 9 15 points

Answers

Answer:

36 ÷ __4__ = 9

Step-by-step explanation:

36/9 = 4, so

36 ÷ __4__ = 9

what is xt8=-3 plz help

Answers

r=- 3/8 cos (0)x t maybe is this

Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4.

Answers

Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.

Given that,

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

We have to determine,

How many withholding allowances does Molly currently claim?

According to the question,

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

Therefore,

It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.

So he must have possessed at least 1 allowance previously and added 1 more.

So, the minimum number of allowance possessed by Molly = 2

Hence, Molly currently claims 2 withholding allowances.

For more details about Income Tax refer to the link given below.

https://brainly.com/question/1708567

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:  

7

8

Therefore, 7/8 simplified to lowest terms is 7/8.

The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?

Answers

Answer:

is there a photo of a scatter plot?

Step-by-step explanation:

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