ABC is dilated by a scale factor of 3 with the origin as the center of dilation, resulting in the image A'B'C'. If the slope of line AB is -1.2, what is the slope of line A'B'?A. -1.2B. 3.6C. 1.2D 1.8

Answer:The slope of A'B' = -1.2 ⇒ answer AStep-by-step explanation:* Lets talk about dilation- A dilation is a transformation that changes the size of a figure.  - It can become larger or smaller, but the shape of the  figure does not change.  - The scale factor, measures how much larger or smaller     the image will be- If the scale factor greater than 1, then the image will be larger- If the scale factor between 0 and 1, then the image will be smaller- If the center of the dilation is the origin then multiply each coordinate  by the scale factor* In the problem∵ Δ ABC is dilated by a scale factor of 3 with the origin as the center   of dilation- Let point A is (a , b) and point B is (c , d)∵ The slope of the line which passes through points (x1 , y1) and (x2 , y2)   is m = (y2 - y1)/(x2 - x1)∴ The slope of AB = (d - b)/(c - a) = -1.2∵ Point A' is (3a , 3b) and point B' is (3c , 3d)∴ The slope of A'B' = (3d - 3b)/(3c - 3a)- Take 3 as a common factor from up and down∴ The slope of A'B' = 3(d - b)/3(c - a) ⇒ cancel 3 up with 3 down∴ The slope of A'B' = (d - b)/(c - a) = the slope of AB∵ The slope of AB = -1.2∴ The slope of A'B' = -1.2* The slope of A'B' = -1.2