Write the equation of the line that has slope 1 half and passes through (4, -1).

Answers

Answer 1

Answer:

-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations

y + 1 = 1/2(x - 4) for point slope equations

Step-by-step explanation:

Slope intercept formula is y = mx  + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),

-1 = 2 + b

for this we'd subtract -2 to both sides

-1 -2 = +2 - 2 + b

Which then we'd get,

-3 = b

So our Y intercept is -3

To complete the equation we'd finish it with putting everything together,

-1 = 1/2*4 + -3 or -1 =1/2*4 -3

If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,

y + 1 = 1/2(x - 4)

Hope this helps!


Related Questions

The primary driver of offshore outsourcing is driven by __________.

Answers

Answer:

cost

Step-by-step explanation:

Lily has $2. 75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?.

Answers

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

  D + Q = 17

We also learn that they amount to 275 (pennies).  We can write that as:

10D + 25Q = 275  [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns.  We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:  

 D + Q = 17

  D = 17 - Q

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

Q = 7  :  7 Quarters.

Since D + Q = 17:

D + 7 = 17

D = 10 Dimes

==========================================

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1.  Is this 17 coins in total?  (7+10 = 17)  YES

2.  Does this add to $2.75?  (10*10) + (7*25) = 275 cents?

 (100 + 176) = 275 (cents)   YES

============================

Lily has 7 Quarters and 10 Dimes

Simplify for x: 2/3 = x-1/5

Answers

Answer:

x=13/15

Step-by-step explanation:

2/3=x-1/5

find LCD=15

10/15=x-3/15

add 3/15 to both sides

13/15=x

On a map the distance is 2.6cm scale of the map is 1cm:50km

Answers

Answer:

Step-by-step explanation:

2.6*50=130 km

Which is a solution to the following system of inequalities?

A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)

Answers

Answer: the answer is D

Step-by-step explanation: - 2 *9 + 3* 7 = 3

-5 *9 + 6 * 7 = - 3

And 3>1

-3<1

Francis is making fruit punch. He adds 2 cups of apples juice for every 3 cups of grape juice. What is the ratio of grape juice to apple juice?

Answers

Answer:

3:2

Step-by-step explanation:

Hope this helps and that you have a good day!

What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0​

Answers

Answer:

Step-by-step explanation:

(1). (x - h)² + (y - k)² = r²

where (h, k) are coordinates of a center of the circle with radius r

(2). ( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~~~~~

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4

Can someone tell me if this is correct if not please correct me in the wrong ones

Answers

Answer:

The answer to 2 is "acute".

The answer to 6 is "right triangle"

For 10, it actually is possible. An example is 50, 50, 80

Step-by-step explanation:

An acute triangle is when each angle is less than 90 degrees.

Any triangle with 90 degrees for one angle counts as a right triangle.

all angle measures in a triangle must add up to 180 degrees. Hope this helps!

May I please receive help?

Answers

Are you looking for a acute angle?

Answer:

Its right angel

Step-by-step explanation:

Sorry if m wrong

PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE

Answers

The answer is option 1.

The line has y-intercept of –3, meaning the line passes through the y axis at –3, to which only option 1 has the line passing through –3.

You can also see that the gradient of that line in option 1 is 1/2, using the rise/run method and can see that the line is positive as it moves in the / direction.

Find the measure of the indicated angle in the triangle.

Answers

Answer:

70°

Step-by-step explanation:

The V angle is complementary with the R which means that

120° + V angle = 180° Therefore V = 60°

The sum of the internal angles of the triangles equals 180.

We have 50° + 60° + U = 180

70° is the answer

If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.

Answers

Answer:

238 kg

Step-by-step explanation:

If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.

a-y= b+y/a make y subject

Answers

Answer:

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Step-by-step explanation:

a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )

a² - ay = ab + y ( subtract y from both sides )

a² - ay - y = ab ( subtract a² from both sides )

- ay - y = ab - a² ← factor out y from each term on the left side

y(- a - 1) = ab - a² ( divide both sides by - a - 1 )

y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Please help me !!


Nine more than eight times a number (x) is at least forty-nine

What’s the inequality & the solution to the inequality is ..

Answers

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer:

See below

Step-by-step explanation:

9 + 8x [tex]\geq[/tex] 49

Subtract 9 from both sides

8x [tex]\geq[/tex] 40

Divide by 8

x [tex]\geq[/tex] 5

use substitution method (y = 2x-10 (2y=x-8

Answers

Answer:

  (4, -2)

Step-by-step explanation:

Use the expression for y given by the first equation to substitute for y in the second equation.

  2(2x -10) = x -8 . . . substitute for y

  4x -20 = x -8 . . . . . eliminate parentheses

  3x = 12 . . . . . . . . add 20-x

  x = 4 . . . . . . . . .divide by 3

  y = 2(4) -10 = -2 . . . substitute for x in the first equation

The solution is (x, y) = (4, -2).

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

We've been given to find out the values of x & y from the two given linear equations by substitution method.

Here we have,

y = 2x - 10 - - - - - (1)

2y = x - 8 - - - - - (2)

As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,

[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]

[tex]:\implies\tt{4x - 20 = x - 8}[/tex]

[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]

[tex]:\implies\tt{3x = 12}[/tex]

[tex]:\implies\tt{x = \frac{12}{3} }[/tex]

[tex]:\implies\tt{x = 4}[/tex]

Placing x = 4 in equation (1) we get,

[tex]:\implies\tt{y = 2x - 10}[/tex]

[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]

[tex]:\implies\tt{y = 8 - 10}[/tex]

[tex]:\implies\tt{y = - 2}[/tex]

The solution of the given system for linear equation is (x,y) = (4,-2)

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

Answers

Answer:

Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

how to sovle
(x+1/x)^2

Answers

[tex] (\frac{x + 1}{x} ) ^{2} \\ = \frac{ {(x + 1)}^{2} }{ {x}^{2} } \\ = \frac{ (x + 1)(x + 1) }{ {x}^{2} } \\ = \frac{ {x}^{2} + 2x + 1}{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification- use comment section.

The image below represents a Function. Describe what is happening in this "machine".

Answers

Answer:

The input is being multiplied by 10.

This can be represented with the function x * 10 = y with x representing the input and y representing the output.

Step-by-step explanation:

Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

A uniform density curve is at y = StartFraction 1 Over 20 EndFraction.

Company policy requires employees to be less than 12 minutes late for work. What percentage of the time will Oliver meet company policy?

6.7%
10%
60%
90%

Answers

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

Learn more about percentage on:

https://brainly.com/question/24304697

school X and school Y had a competition, school X had 8 more points than Y. school X has 3 times as many points as school Y. how many points does each school have?

Answers

Answer:

the answer is X=12 Y=4

Step-by-step explanation:

X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4

Hi!! So I am doing test corrections for a test that I did bad on but I need to know what is the equation for this??

Answers

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

Kelly is measuring an object with a metric ruler. To minimize parallax, she should…

Answers

Answer:

Place the ruler such that the edge is against the object. Parallax is a distortion of view because humans see through two sources, not just one. the farther the object is away from the ruler, the more that parallax can affect the situation.

Step-by-step explanation:

what the vertical height of a hemisphere

Answers

Answer:

V= (2/3) π r³

hope this helps :>

HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP

Answers

Answer:

a, h and k have values 1, -5 and -10 respectively

I need helppp
It’s for math and I’m clueless

Answers

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

2(3x+4) - 4 (x + 2)=6 what dose x =

Answers

Step-by-step explanation:

2(3x + 4) - 4(x + 2) = 6

6x + 8 - 4x - 8 = 6

2x = 6

x = 6/2 = 3

Help me with x and z

Answers

Answer:

x = 14

z = 70

Step-by-step explanation:

(10x - 30) + (11x - 84) = 180

x = 14

(10(14) - 30) + z = 180

z = 70

algebric expressions formula​

Answers

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

Can someone help me on this question? The question is down below...

Answers

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

the length of a is 12 m

PLEASE HELP MEE i dont really understand this

4(p+1.25)=7 2/5

Answers

Answer:

p=0.6

Step-by-step explanation:

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