Question

Write the equation of the line in slope-intercept form that goes through the points (4, -2) and (8, -9)

Answer 1

y = -7/4 + 5

Steps are on paper.

Answer 2

y = 17/6 x - 40/3

Explanation:

Slope-intercept form: y = mx + b

First, let's find the slope:

slope formula: (y2-y1) divded by (x2-x1)

(4, -2) and (8, -9)

(-9 - 8) divded by (-2 - 4) = 17/6

We found m, now we have to find b.

The new equation: y = 17/6 x + b

Insert any of the two points, in this case, I'll insert (4, -2)

-2 = 17/6 (4) + b

-2 = 68/6 + b

b = -2 - 68/6

b = -40/3

Overall equation: y = 17/6 x - 40/3