Q. 7 - Geometry

Question

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

 (7, 2); (2, 7)

Step-by-Step Solution

Answer

The slope of the line is$-1$ .

Step-1 – Given

The given points are (7, 2); (2, 7).

Step-2 – To determine

We have to find the slope of the line through the points (7, 2); (2, 7).

Step-3 – Calculation

We compare (7, 2); (2, 7) with $\left(x_1,y_1\right);\left(x_2,y_2\right)$.

here,

$\begin{array}{l}{x}_1=7\\ y_1=2\\ x_2=2\\ y_2=7\end{array}$

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

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