The rule T⟨4, −1⟩ is used on the preimage point (2, −7). What is the image point?

The equation is y=3x-6. 3 being slope, -6 being y-intercept

Step-by-step explanation:

use the equation y=mx+b. To find the slope you use the method y2-y1 and x2-x1. so 0-(-9) = 9 and 2-(-1)=3, so 9/3 simplified is 3. you can now fill out some of your equation, y=3x+b. to find y intercept you plug in one of the points like (2,0) so since 0=y ans 2=x you plus that in 0=3(2)+b. start off in the parenthesis 3×2=6. 0=6+b subtract 0-6=-6 so your equation is y=3x-6