Question

writing a rule for a translation
randy draws triangle abc on the coordinate plane with vertices a(7, - 4), b(10, 3), and c(6, 1). he then translates the figure so the coordinates of the image are a(5, 1), b(8, 8), and c(4, 6). what rule did he use to draw the image?
$t_{-2,5}(x,y)$ $t_{5,-2}(x,y)$ $t_{2,-5}(x,y)$ $t_{-5,2}(x,y)$

Explanation:

Step1: Find change in x - coordinate

For point A: $7 - 5=2$, for point B: $10 - 8 = 2$, for point C: $6 - 4=2$. The change in x - coordinate $\Delta x=- 2$.

Step2: Find change in y - coordinate

For point A: $1-(-4)=5$, for point B: $8 - 3=5$, for point C: $6 - 1 = 5$. The change in y - coordinate $\Delta y = 5$.

Answer:

$T_{-2,5}(x,y)$