Question

Find the slope of the line that passes through each pair of points.

$\left(-3,4\right),\left(2,-6\right)$

Short answer

The number$-2$ represents the required slope.

Step-by-step solution

Step 1. Determine the formula that can be used.

The slope formula$m=\frac{y_2-y_1}{x_2-x_1}$ can be used to calculate the required slope.

Step 2. Take the help of the obtained method. 

Take the help of formula for slope of a line represented by$m=\frac{y_2-y_1}{x_2-x_1}$in which the required values can be filled by using the provided points as they are in the form of $\left(x_1,y_1\right)\left(x_2,y_2\right)$.

$\begin{array}{c}m=\frac{-6-4}{2-\left(-3\right)}\\ =\frac{-10}{2+3}\\ =\frac{-10}{5}\\ =-2\end{array}$

Step 3. Write the conclusion.

The obtained slope is $-2$. So, it is the required rate of change.