Question

Write the slope-intercept form of the equation of the line through the given point with the given slope.

point: (-4, 7),

slope =2

Answer 1

y = 2x + 15

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 , then

y = 2x + c ← is the partial equation

to find c substitute (- 4, 7 ) into the partial equation

7 = - 8 + c ⇒ c = 7 + 8 = 15

y = 2x + 15 ← equation of line