Question

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

Answer 1

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

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`