Need help with dilation with a scale factor of 1/2 centered at (−1, 3)
1 answer:
A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
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Answer:
x + 3y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 1 = - (x - 6)
Multiply through by 3 to clear the fraction
3y - 3 = - (x - 6) ← distribute parenthesis by - 1
3y - 3 = - x + 6 ( add x to both sides )
x + 3y - 3 = 6 ( add 3 to both sides )
x + 3y = 9 ← in standard form