Write the equation of a line that passes through the point (0, 3) and (-4, 11). *

Answers

Answer 1

Answer:

[tex] \large \boxed{y = - 2x + 3}[/tex]

Step-by-step explanation:

Goal

Write the equation of a line with given coordinate points

Given

Coordinate points which are (0,3) and (-4,11).

Step 1

Use the slope formula also known as rise over run to calculate the slope.

[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

Substitute coordinate points in.

[tex]m = \frac{11 - 3}{ - 4 - 0} \\ m = \frac{8}{ - 4} \longrightarrow \frac{2}{ - 1} \\ m = - 2[/tex]

Step 2

Substitute the value of slope in the slope-intercept form.

[tex] \large \boxed{y = mx + b}[/tex]

where m = slope and b = y-intercept.

[tex]y = - 2x + b[/tex]

Step 3

Substitute any given coordinate points in the new equation to find the value of b.

Substitute both coordinate points still give the same solution.

Step 3.1 — (0,3)

[tex]y = - 2x + b \\ 3 = - 2(0) + b \\ 3 = 0 + b \\ 3 = b[/tex]

Step 3.2 — (-4,11)

[tex]y = - 2x + b \\ 11 = - 2( - 4) + b \\ 11 - 8 = b \\ 3 = b[/tex]

Therefore, the value of b is 3.

Step 4

Substitute the value of b in the equation.

[tex]y = - 2x + b \\ y = - 2x + 3[/tex]

Hence, the equation of a line is y = -2x+3.


Related Questions

Pls help!!!

1. Solve for w
21+2w=p
Answer will be w=-L+p/2


2. Solve for a
b-2a=c
The answer will be a=c-b/-2 or b-c/2

I know I have the answers but I need the work for it I’ll mark you brainliest

Answers

i can help but where’d the L come from in number 1

here 2 though.

b-2a=c
subtract b from both sides which gives you -2a=c-b
divide both sides by -2 to get a alone which gives you a=c-b/-2


how many more pairs of parallel sides does a regular octagon have than a regular octagon have than a regular hexagon

Answers

A regular hexagon has 3 pairs of parallel sides. A regular octagon has 4 pairs of parallel sides. Hope this helps :))

Rewrite the equation y - 3 = 23(x - 2) in standard form.
Write your answer using integer coefficients.

Answers

Answer:

I believe it would be y-3=23x-2

solve this please pleaee maths question pleade​

Answers

son is 17 mother is 41

Plz help me with my math

Answers

Answer:

D I believe

Step-by-step explanation:

if it's going by negative values and positive values then -6 is the lowest and 9 is the highest

Answer:

D

Step-by-step explanation:

Least to greatest means from smallest to largest in simple terms.

So, -6, -4, -2, 2, 5, 9

Use the distributive property to write an equivalent and simplified expression 12(3y+x)

Answers

36y+12x


I nneeesdd 20 characters

Which answer choice shows the decimals in order from least to greatest?
A. 0.013, 0.0104, 0.0118, 0.0108, 0.00149
B. 0.00149, 0.0104, 0.0108, 0.0118, 0.013
C. 0.013, 0.0118, 0.0108, 0.0104, 0.00149
D. 0.013. 0.0118. 0.0108. 0.00149. 0.0104

Answers

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

The correct answer is B!

a bag of trail mix is 4lbs. by weight, 36% is oats.

what is the weight of the oats in the trail mix?

Answers

Answer:

1.44 lbs is from the oats

Step-by-step explanation:

Convert 36% to a decimal by dividing by 100, = 0.36

Multiply that by the 4 lbs of trail mix.
4 x 0.36 = 1.44 lbs

complete the description of how to model -4x + 6 = 23

you would use a _______ negative a variable tiles and _______ +1- tiles on one side of a line and ______ +1 - tiles on the other side to represent the equation negative -4x + 6 = 23 with algebra tiles.
HELP ME ASAP WITH THIS MATH QUESTION PLEASE!​

Answers

Well I will put an example but the easiest way

Expanding-

When u ex and

Please help !!!!!! thanks

Answers

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Amy plays video games for exactly 20 minutes each day for two months. If each month had 31 days, how many minutes will she play video games?

Answers

Answer:

620

Step-by-step explanation:

how many square feet of outdoor carpet will we need for this hole​

Answers

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?

Answers

Answer:

Please refer to the attached image.

PLZ HELP ME I NEED THE ANSWER ASAP

Answers

answer:

153.94cm²

Step-by-step explanation:

<3

Suppose a city with population 200,000 has been growing at a rate of ​4% per year. If this rate​ continues, find the population of this city in 11 years.

Answers

Answer:

288,000

Step-by-step explanation:

You find 4% of 200,000 which is 8,000. Then you multiply 8,000 by 11 and then add it to 200,000.

Help I will be marking brainliest!!!

A. 241 ft
B. 358 ft
C. 258 ft
D. 341 ft

Answers

Answer:

c. is the correct answer

mark me as brainlist

need help it is math

Answers

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used 513 cups of sugar to make multiple batches of cookies. How many batches did she make?

Answers

Answer:

I don't know, sorry sweetie

Step-by-step explanation:

You do the work yourself x

A straight angle is broken into 3 angles. The first angle measures 38°, the second angle is a right angle. What is the measurement of the 3rd angle?


Answer: The measurement of the 3\large ^{rd} angle is

Answers

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

what is the slope intercept form of the equation of the line shown in the graph​

Answers

Answer:

y=2x+1

Step-by-step explanation:

PLZZ HALPMMELOL PLZZ it’s due 20 min

Answers

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

Determine the scale factor of the dilation, if OA = 7 and OA' = 21.

Answers

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

please help me

find the value of x
x=​

Answers

Answer:

180-120+x-5+x+5=180

60+2x=180

2x=120

x=60

X=60 is the answer ....!!!!!!

Solve for x: 7x + 3 =2x +13

Answers

Answer:

x = 2

Step-by-step explanation:

7x + 3 = 2x + 13

Get all the x on the same side: 7x - 2x = 13 - 3

Subtract: 5x = 10

Divide both sides by 5 to get x = 2.

Plug the found value of x back in to check the answer: 7(2) + 3 = 2(2) + 13

Multiply: 14 + 3 = 4 + 13

Add: 17 = 17

This verifies that x = 2.

Step-by-step explanation:

[tex]7x+3=2x+13\\7x-2x=13-3\\5x=10\\x=2[/tex]

PLEASE HELP :)))

triangle similarity theorem

Answers

Answer:

9i

Step-by-step explanation

Which of x- values are solutions to the following inequality?​

Answers

Answer:

A and B

Step-by-step explanation:

54 , 89

What is f(3) if f(x) = - 4x+1 ?
A.-44
B.-11
C. 1/2
D. 13

Please help me! :/

Answers

Answer:

Here is the equation:

f(x)=4x+1f(x)=4x+1

You need to find f(3). To do that, substitute all the x's with 3:

f(x)=4x+1 \rightarrow f(3)=4\times3 + 1f(x)=4x+1→f(3)=4×3+1

The first thing you need to do is multiply 4 by 3. Multiply:

4 \times 3 = 124×3=12

Here is your new equation:

f(3)=12+1f(3)=12+1

To get your answer, you need to add 12 and 1. Add:

12+1 = 1312+1=13

That means:

\bf f(3)=13f(3)=13

Step-by-step explanation:

13 is the ans

ahhhhhhhhhhhhhhh why why why please help

Answers

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

A package designer wants the hexagonal base of a hat box to have an area of

about 200 in.2. About how long is each side?

Answers

Answer:

About 9inches long

Step-by-step explanation:

Area of a hexagon = 3√3/2 a²

a is the length of each side

Given

Area of the hexagon = 200in²

Substitute

200 = 3√3/2 a²

200×2 = 3√3 a²

400 = 3√3a²

a² = 400/3√3

a² = 400/5.196

a² = 76.982

a = √76.982

a = 8.774

Hence the length of each side is about 9inches long (to nearest inches)

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