How do you graph y=-3x-3y=3x3 using rise over run?

1 Answer
Jul 18, 2018

:.color(green)(" Slope " = m = "(rise) / (run)" = - 3

Explanation:

y = -3x - 3

y = mx + c " is the slope-intercept form"

color(crimson)("Slope " = m = tan theta = " (rise) / (run) = (y-intercept) / (x-intercept)"

"rise " = y " when " x = 0, run = x " when " y = 0

:. "when " x = 0, y = -3 * 0 - 3 = -3, "y-intercept " = -3

"Likewise, when " y = 0, 0 = -3x -3 " or x-intercept " = -1

:.color(green)(m= "(rise) / (run)" = (-3)/-1 = - 3 " as " theta " in II Quadrant"

graph{- 3x - 3 [-10, 10, -5, 5]}