write an equation for the line that is parallel to y=-2x and passes through the point (0,-7)

Answer 1

parallel lines have the same slope.

slope of y=-2x is -2, the coefficient of the x term, when the linear equation is solved for y

the slope is also the difference in y coordinates divided by the difference in x coordinates

= (y--7)/(x-0) = (y+7)/x

set them equal to get

(y+7)/x = -2

multiply both sides by x

y+7 = -2x

2x +y = -7 is the standard form of the equation of the parallel line through the given point, (0, -7)