Question

Find the equation of the line that passes through (-3,1) and is parallel to y=1−2x.

Leave your answer in the form y=mx+c

Answer 1

y=-5-2x

Explanation:

The equation of the line in the slope-intercept form is y=1-2x.

The slope of the parallel line is the same m=-2

So, the equation of the parallel line is y=-2x+a

To find a, we use the fact that the line should pass through the given point: 1=(-2)×(-3)+a.

Thus, a=-5

Therefore, the equation of the line is y=-5-2x