The graph of the line has an equation of y = 5x - 8. What is the equation of the line after a dilation with a scale factor of 3 2 , centered at the origin. A) y = 5x - 6 B) y = 5x - 12 C) y = 15 2 x - 8 D) y = 15 2 x - 12
Accepted Solution
A:
Answer:B) y = 5x -12Step-by-step explanation:Dilation changes the distance of points from the origin, but does not change angles (slopes of lines). Hence the y-intercept moves from -8 to 3/2·(-8) = -12, but the slope stays the same.