Question

A line passes through the points (0, –7) and (5, –10). What is its equation in slope-intercept form?

Answer 1

Answer: Step-by-step explanation

STEP 1

`slope = (rise)/(run)\\\\m = (y2 - y1)/(x2 - x1)`

STEP 2

Substitute point values into the slope equation.

`m = (10 - 7)/(5 - 0) = (3)/(5)`

STEP 3

Point-slope form.

`y - y1 = m (x - x1)`

STEP 4

Substitute any point on the line and the slope for x1, y1, m

`y - 7 = (3)/(5) (x - 0)`

Result

`\\y - 7 = (3)/(5)x`