Algebra question

Question

Write the slope-intercept form of an equation of the line that passes through (-2,0) and is parallel to the graph of y= -3x-2

Answer 1

The slopes of parallel lines are the same. Using the equation y= -3x-2, -3 is the slope in this equation, so that would also be the slope of the parallel line.

m=-3

From the point (-2,0) x=-2 and y=0

Plugging these values into the equation y=mx+b

0=-3(-2)+b

Simplify

0=6+b

Subtract 6 from both sides

0-6=6+b-6

-6=b

The general equation of a line is

y=-3x-6