Point C (6,-2) is dilated from the origin by scale factor r= 1/2 What are the coordinates of C?
1 answer:
Answer:
The coordinates of point C after dilation will be: (3,-1)
Step-by-step explanation:
Dilation in the coordinate plane can be defined as enlargement. There are different types of dilation. The most simple one is dilation from origin.
A factor is used to dilate a point from the origin. For example, if (x,y) is a point and a is the scale factor then the coordinates of points will be:
(x,y) => (ax,ay)
Given point is:
C(6,-2)
r = 1/2
The new coordinates of point C will be:
The coordinates of point C after dilation will be: (3,-1)
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First, determine y-intercept and x-intercept of the line
# y-intercept (when x = 0)
y = 2x - 3
y = 2(0) - 3
y = 0 - 3
y = -3
# x-intercept (when y = 0)
y = 2x - 3
0 = 2x - 3
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
Second, put y-intercept and x-intercept on cartesian plane, then connect the intercepts
See image attached
# y-intercept (when x = 0)
y = 2x - 3
y = 2(0) - 3
y = 0 - 3
y = -3
# x-intercept (when y = 0)
y = 2x - 3
0 = 2x - 3
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
Second, put y-intercept and x-intercept on cartesian plane, then connect the intercepts
See image attached