Q. 5 - Geometry

Question

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

 (1, 2); (-2, 5)

Step-by-Step Solution

Answer

The slope of the line is -1.

Step-1 – Given

The given points are (1, 2); (-2, 5).

Step-2 – To determine

We have to find the slope of the line through the points (1, 2); (-2, 5).

Step-3 – Calculation

We compare (1, 2); (-2, -5) with $\left(x_1,y_1\right);\left(x_2,y_2\right)$.

here,

$\begin{array}{l}{x}_1=1\\ y_1=2\\ x_2=-2\\ y_2=5\end{array}$

So, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{-2-1}=-1$

It means, the slope of the line is -1.