Question

translate the figure 5 units right and 7 units down. plot all of the points of the translated figure. you may click a plotted point to delete it.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated 5 units right and 7 units down, the new - point is $(x + 5,y-7)$.

Step2: Assume point coordinates

Let the vertices of the original triangle be $(x_1,y_1),(x_2,y_2),(x_3,y_3)$.

Step3: Calculate new coordinates

The new vertices will be $(x_1 + 5,y_1-7),(x_2 + 5,y_2-7),(x_3 + 5,y_3-7)$. Plot these new points on the coordinate - plane.

Since no specific coordinates of the original triangle's vertices are given, the general method for translation is as above. To actually plot the points, if the original vertices are, for example, $(x_1,y_1)=(-8,7),(x_2,y_2)=(-6,9),(x_3,y_3)=(-7,4)$:
New vertex 1: $(-8 + 5,7-7)=(-3,0)$
New vertex 2: $(-6 + 5,9-7)=(-1,2)$
New vertex 3: $(-7 + 5,4-7)=(-2,-3)$
Plot these new points to get the translated figure.

Answer:

Use the rule $(x,y)\to(x + 5,y - 7)$ for each vertex of the original figure and plot the resulting points.