Question

Please help me with this math problem. Find the equation for the line below.

Answer 1

Answer:

y+2=3/4(x+5)

Step-by-step explanation:

The first step is to find the slope of the line. Between the two points, the line rises from a y value of -2 to a y value of 4, or a total rise of 6 units. It also goes to the right from an x value of -5 to an x value of 3, which is a total of 8 units. 6 units of rise over 8 units of run is a total slope of 6/8=3/4. Now, you can use the point slope form for either one of the points (I'll use the leftmost one).

y+2=3/4(x+5)

Hope this helps!

Answer 2

One answer in point slope form: y + 2 = (3/4)(x + 5)

Answer in slope intercept form: y = (3/4)x + 7/4

Answer in standard form: 3x-4y = -7

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Explanation:

First we need the slope of the line

Find the slope of the line through (x1,y1) = (-5,-2) and (x2,y2) = (3,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - (-2))/(3 - (-5))

m = (4 + 2)/(3 + 5)

m = 6/8

m = 3/4

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Plug m = 3/4 and (x1,y1) = (-5,-2) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-5))

y + 2 = (3/4)(x + 5)

y + 2 = (3/4)x + (3/4)*5 ... distribute

y + 2 = (3/4)*x + 15/4

y + 2 - 2 = (3/4)*x + 15/4 - 2 ... subtract 2 from both sides

y = (3/4)x + 15/4 - 8/4

y = (3/4)x + (15-8)/4

y = (3/4)x + 7/4

This equation is in slope intercept form y = mx+b

m = 3/4 is the slope, b = 7/4 is the y intercept

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Multiply both sides by 4 to help convert to standard form

y = (3/4)x + 7/4

4y = 3x+7

-7 = 3x-4y

3x-4y = -7

This is in the form Ax+By = C

A = 3, B = -4, C = -7