Question

Determine the rate of change of the following linear equation as it translates from (-5, -1) to any other point on the line.

Answer 1

The rate of change of the linear equation is $-\frac{2}{3}$

Explanation:

The given two coordinates are $(-5,-1)$ and $(1,-5)$

To determine the rate of change, let us use the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates in the equation, we get,

$m=\frac{-5+1}{1+5}$

Simplifying, we have,

$m=\frac{-4}{6}$

Dividing, we get,

$m=-\frac{2}{3}$

Thus, the rate of change of the linear equation is $-\frac{2}{3}$