Question

Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.

Answer 1

Answer:

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

Step-by-step explanation:

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

$y=mx+b$

Parallel lines have the same slope. Therefore if given line is

$y=2x+2$

then the slope of our line is $m=2$.

We have the equation:

$y=2x+b$

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

$-7=2(-1)+b$

$-7=-2+b$          add 2 to both sides

$-5=b\to b=-5$

Finally:

$y=2x-5$