Question

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

Answer 1

Answer:

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

Step-by-step 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

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