Question

Which is an equation of the line whose

slope is 2 and which passes through the
point (-2, 3)?
(1) y=-28+7 (3) y = -2x+1
(2) y = 2x +1 (4) y = 2x + 7
Please help!

Answer 1

y = 2x + 7

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, so

y = 2x + c ← is the partial equation

To find c substitute (- 2, 3 ) into the partial equation

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = 2x + 7 ← equation of line