Patricia T. answered • 06/24/21
Over 20 Years Experience SAT, ACT, SSAT, ISEE, GED, Algebra, Geometry
- 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.
- 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).
- 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