Question

Graph the equation 9−x=3/2y using slope-intercept form. Please give the plot coordinates for the graph

Answer 1

Start by solving for y (slope-intercept form):

(3/2) y = 9 − x
y = (2/3)(9 − x) = 6 − (2/3)x

So y = −(2/3)x + 6. Slope m = −2/3, y-intercept (0, 6).

Points to plot (use rise/run: right 3, down 2 or left 3, up 2):
- (0, 6) (y-intercept)
- (3, 4) (0 − 2/3·3 + 6 = 4)
- (6, 2)
- (9, 0) (x-intercept)
- (−3, 8)
- (−6, 10)

Plot (0,6) then draw a straight line through these points.