Question

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

$\left(2,6\right)\left(4,12\right)$

Short answer

The number 3 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 $\left(x_1,y_1\right)\left(x_2,y_2\right)$.

$\begin{array}{c}m=\frac{12-6}{4-2}\\ =\frac{6}{2}\\ =3\end{array}$

Step 3. Write the conclusion.

The obtained slope is 3. So, it is the required slope.