Write an equation of the line that passes through (-3, 10) and is parallel to the line y=-2x-9

y = -2x+4

Step-by-step explanation:

y = -2x-9

We want a line that is parallel so it has the same slope

The slope is -2

We will use the slope intercept form of a line

y = mx+b

y = -2x+b

Substitute the point into the equation

10 = -2(-3)+b

10 = 6+b

10-6 =b

4=b

Substituting into the equation

y = -2x+4

y = -2x + 4

Step-by-step explanation

Parallel lines have the same slope,

So the slope is -2

y = -2x + c

10 = -2(-3) + c

c = 4

y = -2x + 4