Write a slope-intercept equation for a line with the given characteristics.

Question

Passes through (3,-7) and (0,-2)

Answer 1

You are given the points (3,-7) and (0,-2).

Let's find the slope.

m = [-7 - (-2)]/(3 - 0) = -5/3

Use the point-slope form. Either points you plug in will give you the same slope-intercept form.

y - (-2) = (-5/3)[x - 0]

y + 2 = (-5/3)x + 0

y = (-5/3)x - 2

y - (-7) = (-5/3)[x - 3]

y + 7 = (-5/3)x + (15/3)

y + 7 = (-5/3)x + 5

y = (-5/3)x - 2