Question

graph the image of b(-3, 5) after a reflection in the line x = -2.

Explanation:

Step1: Find distance to reflection line

The x-coordinate of $B$ is $-3$, the line is $x=-2$.
Distance = $|-2 - (-3)| = |1| = 1$

Step2: Calculate new x-coordinate

Move same distance on opposite side of $x=-2$.
New $x = -2 + 1 = -1$

Step3: Keep y-coordinate unchanged

Reflection over vertical line preserves y-value.
New $y = 5$

Answer:

The image of $B(-3, 5)$ is $(-1, 5)$ (this point is plotted 1 unit to the right of the line $x=-2$, at the same vertical level as the original point).