Question

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

x	y
2.6	$-2$
3.1	4

Short answer

The number 12 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 the points are representing the value of $\left(x_1,y_1\right)\left(x_2,y_2\right)$in the form of $\left(2.6,2\right)\left(3.1,4\right)$.

$\begin{array}{c}m=\frac{4-\left(-2\right)}{3.1-2.6}\\ =\frac{6}{0.5}\\ =12\end{array}$

Step 3. Write the conclusion.

The obtained slope is 12. So, it is the required slope.