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

$slope = \frac{rise}{run}\\\\m = \frac{y2 - y1}{x2 - x1}$

STEP 2

Substitute point values into the slope equation.

$m = \frac{10 - 7}{5 - 0} = \frac{3}{5}$

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

$y - 7 = \frac{3}{5} (x - 0)$

Result

$\\y - 7 = \frac{3}{5}x$