Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/3?
A.
(3, 3)
B.
(10, 9)
C.
(3, 15)
D.
(3, 10)
Find slope-
x-intercept-
y-intercept-
get the equation in slope intercept form
2x-3y=9
subtract 2x from each side
-3y = -2x +9
divide by -3
y = 2/3 x -3
slope = 2/3
y intercept = -3
x intercept set y=0 and solve
0 = 2/3 x -3
add 3 to each side
3 = 2/3 x
multiply each side by 3/2
9/2 = x
the x intercept is 9/2 or 4 1/2