Q. 3 - Geometry

Question

Find the slope of the line through the points named. If the slope is not defined, write not defined.

3. (1, 2); (3, 4)

Step-by-Step Solution

Answer

The slope of the line is 1.

Step-1 – Given

The given points are (1, 2); (3, 4).

Step-2 – To determine

We have to find the slope of the line through the points (1, 2); (3, 4).

Step-3 – Calculation

We compare (1, 2); (3, 4) with$\left(x_1,y_1\right);\left(x_2,y_2\right)$ .

here,

$\begin{array}{l}{x}_1=1\\ y_1=2\\ x_2=3\\ y_2=4\end{array}$

$so slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{4-2}{3-1}=1$

It means, the slope of the line is 1