SOLUTION: Please help me solve : Idetify the x and y-intercept of f(x). without graphing g(x), idetify its x and y-intercepts. F(x)=-3/2x+9 and g(x)= 2/3f(x)

Question 674024: Please help me solve : Idetify the x and y-intercept of f(x). without graphing g(x), idetify its x and y-intercepts.

F(x)=-3/2x+9 and g(x)= 2/3f(x)
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Set y equal to zero and solve for the x intercept.
...
Set x equal to zero and solve for the y intercept.
...
f(x) = -3/2x + 9
y = -3/2x + 9
0 = -3/2x + 9
-9 = -3/2x
-9(-2/3) = x
x = 6, so (6, 0) x intercept
...
y = -3/2(0) + 9
y = 9, so (0, 9) y intercept
...
g(x) = (2/3)f(x)
g(x) = (2/3)(-(3/2)x + 9)
= (2/3)(-3/2)x + (2/3)(9)
= -x + 6
y = -x + 6
0 = -x + 6
x = 6, so (6,0) x intercept
...
y = -x + 6
y = -0 + 6
y = 6, so (0,6) y intercept
.....................
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