Question

Write an equation in slope-intercept form for the line parallel to y = 5x – 2

that passes through the point (6,-2).
Type your equation in the form y=mx+b. Do not use any spaces in your response.

Answer 1

y = 5x - 32

Explanation:

The equation of a line in slope- intercept form is

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

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + b ← is the partial equation

To find b substitute (6, - 2 ) into the partial equation

- 2 = 30 + b ⇒ b = - 2 - 30 = - 32

y = 5x - 32 ← equation of parallel line