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Stells [14]
3 years ago
5

What is the equation of the line that passes through point (4,12) and has a y-intercept of -2?

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Option B:

The equation of a line is y=\frac{7}{2}x-2.

Solution:

Given data:

Line passing through the point (4, 12).

y-intercept of the line = –2

The equation of a line in slope-intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

c = –2

Substitute c = –2 in slope-intercept form.

y = mx – 2 – – – – (1)

To find m, substitute (4, 12) in the above equation.

12 = m(4) – 2

12 = 4m – 2

Add 2 on both sides of the equation.

14 = 4m

Divide by 2 on both sides of the equation.

$\frac{14}{4}=m

$\frac{7}{2}=m

Slope = \frac{7}{2}

Substitute m value in equation (1), we get

$y=\frac{7}{2}x-2

The equation of a line is y=\frac{7}{2}x-2.

Hence Option B is the correct answer.

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3 0
3 years ago
If you buy a car for 15500 an average on an average a new car loses 11% of its value the moment that is driven off the lot once
AfilCa [17]

Answer:

$13,795

Step-by-step explanation:

15500/x=100/11

(15500/x)*x=(100/11)*x       - we multiply both sides of the equation by x

15500=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x

15500/9.0909090909091=x  

1705=x  

x=1705

now we have:  

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8 0
3 years ago
Can anyone figure this out
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Answer:

I know it.

Step-by-step explanation:

triangles always add up to 180 degrees so add 43 and 32 together and you will get 75 so then you take 75 off 180 and you will get 105

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Answer:

y=-2x+17

Step-by-step explanation:

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3 years ago
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Answer:

5x - 43

Explanation:

Given the below expression;

4\left(3x-2\right)-7\left(x+5\right)

To simplify the above, we'll go ahead and use the numbers outside the parentheses to multiply the ones inside to clear the parentheses as seen below;

\begin{gathered} 12x-8-7x-35 \\ =12x-7x-8-35 \\ =5x-43 \end{gathered}

So the answer is 5x - 43

7 0
1 year ago
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