Q. 4 - 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 $\frac{7}{3}$.

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, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{-5-2}{-2-1}=\frac{7}{3}$

It means, the slope of the line is $\frac{7}{3}$.