Question

point a is located at (5/8, 1/8). plot all the points that are 3/8 of a unit from point a and have the same y - coordinate as point a.

Explanation:

Step1: Determine the x - coordinates of new points

Since the y - coordinate remains the same ($y = \frac{1}{8}$) and the distance from point $A(\frac{5}{8},\frac{1}{8})$ is $\frac{3}{8}$ unit, we find the new x - coordinates by adding and subtracting $\frac{3}{8}$ from the x - coordinate of point A.
For the point to the left: $\frac{5}{8}-\frac{3}{8}=\frac{5 - 3}{8}=\frac{2}{8}=\frac{1}{4}$
For the point to the right: $\frac{5}{8}+\frac{3}{8}=\frac{5+3}{8}=1$
The two points are $(\frac{1}{4},\frac{1}{8})$ and $(1,\frac{1}{8})$.

Answer:

The points are $(\frac{1}{4},\frac{1}{8})$ and $(1,\frac{1}{8})$