Write the equation of a line parallel to y = -2x +4 that goes through (-3,9)

Answer 1

1. We know that the slope or gradient of a line is a number that describes both the direction and the

steepness of a line, & these parallel lines will never meet & will maintain the same slope. 

1. Using the slope in the given equation in the problem, y = -2x + 4, which is already in

slope-intercept form (y = mx + b; where m = slope).

1. Then we can take the point given in the problem, (-3, 9); where x = -3 and y = 9,

and we plug it into the point-slope form: (y - y₁) = m (x - x₁), along with the slope of -2.

y - 9 = -2 (x - (-3)) --------> y - 9 = -2x - 6 ---------> y = -2x + 3

Answer 2

Use point-slope form from Algebra 1

(y - 9) / (x + 3) = -2