Question

Graph the equation using slope-intercept form. (1 point) 9 - x = 3/2 * y
y
11
10-
9-
8
7-
-6-
5-
4-
3-
2-
1
-0-
-110
1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5 -4
-3
-2
-2-
-31
-4-
-5
(0,-3)
-7-
-8-
-9-
X
(7,-1)

Answer 1

First solve for y (slope-intercept form):

9 − x = (3/2) y
Multiply both sides by 2: 18 − 2x = 3y
Divide by 3: y = 6 − (2/3)x

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

To graph:
- Plot the y‑intercept (0, 6).
- From (0,6) use the slope −2/3: go right 3 and down 2 to get (3,4). Repeat to get (6,2). Or go left 3 and up 2 to get (−3,8).
- Draw a straight line through these points.

Note: the points you listed, (0, −3) and (7, −1), are not on this line:
- y(0) = 6 ≠ −3
- y(7) = −(2/3)·7 + 6 = 4/3 ≠ −1

So use the points above (for example (0,6), (3,4), (6,2)) to draw the correct line.