Answer
$m = 0$
Work Step by Step
We are given the two points X $(-a, b)$ and Y $(a, b)$.
Let's use the formula to find the slope $m$ given two points:
$m = \frac{y_2 - y_1}{x_2 - x_1}$,
where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line.
Let's plug in the values into this formula:
$m = \frac{b - b}{a - (-a)}$
Simplify the numerator and denominator:
$m = \frac{0}{2a}$
Simplify the fraction to solve:
$m = 0$
