To graph the equation 9 - x = (3/2)y in slope-intercept form, we need to rearrange the equation to isolate y.
First, subtract 9 from both sides of the equation:
-x = (3/2)y - 9
Next, multiply both sides of the equation by -2/3 to solve for y:
(-2/3)(-x) = (-2/3)(3/2)y + (-2/3)(-9)
(2/3)x = (-3/2)y + 6
Rearranging the equation, we get:
(-3/2)y = (2/3)x - 6
Finally, divide both sides by -3/2 to solve for y:
y = (-2/3)(3/2)x - 6(-3/2)
y = (-1/3)x + 9
Now we have the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
The slope is -1/3 and the y-intercept is 9.
To graph the equation, plot the y-intercept at the point (0,9), and use the slope to find additional points.
Using the slope (rise = -1, run = 3), move down 1 unit and to the right 3 units from the y-intercept:
(0,9) -> (3,8)
(3,8) -> (6,7)
(6,7) -> (9,6)
(9,6) -> (12,5)
(12,5) -> (15,4)
Plotting these points and connecting them, we get the graph of the equation y = (-1/3)x + 9.
graph the equation 9-x=3/2y using slope intercept form
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