Question

Write an equation for the line in point-slope form passing through (-9, -7), parallel equation y=-2x+5

Answer 1

`y+7=-2(x+9)`

Explanation:

step 1

Find the slope of the line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the given line is
`m=-2`

therefore

The slope of the line parallel to the given line is
`m=-2`

step 2

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=-2`

`point\ (-9,-7)`

substitute

`y+7=-2(x+9)`