Q6. - Algebra 2

Question

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

$\left(3,4\right),\left(1,2\right)$

Step-by-Step Solution

Answer

The slope of the line is $1$.

Step 1- Given information

A pair of points $(3,4),(1,2)$.

Step 2- Formula used

The slope formula of a line is:

$m=\frac{y_2-y_1}{x_2-x_1}$ 

Where, m is slope of the line which is passes through the points $(x_1,y_1),(x_2,y_2)\text{ and }{x}_1\ne x_2.$

Step 3- To find the slope

Here, $(x_1,y_1)=(3,4){\text{ and (x}}_2,y_2)=(1,2)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{2-4}{1-3}\\ \Rightarrow m=\frac{-2}{-2}\\ \Rightarrow m=1\end{array}$

Hence, the slope of the line is $1$.