slope of -7x-2y=14 — step-by-step solution

⇥Let's solve in

ℝ

- 7 x - 2 y = 14

⇥ⓘ We gather the terms in

y

on the right and the other terms on the left

⇥

- 7 x - 14 = 2 y

⇥ⓘ Both sides are divided by

2

⇥

y = \frac{- 7 x - 14}{2}

⇥ⓘ The minus sign is factored out, changing the sign of each term:

- 7 x - 14

- (7 x + 14)

⇥Solution found:

y = - \frac{7 x + 14}{2}

The slope-intercept form is

y = m x + b

: the slope is

- \frac{7}{2}

and the y-intercept is

-7

▶Slope:

- \frac{7}{2}