Question

Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)

Answer 1

$\boxed{y=-2x-5}$

Explanation:

The slope-intercept form of the equation of a line:

$y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept$

The given line has the following characteristics:

$y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3$

So the line we are looking for needs to be:

$y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5$

So, the equation of the line would be:

$\boxed{y=-2x+3}$

Learn more:

Many-to-one function: brainly.com/question/12881881

#LearnWithBrainly