Q. 10 - Geometry

Question

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

 (6, -6); (4, 3)

Step-by-Step Solution

Answer

The slope of the line is $-\frac{9}{2}$.

Step-1 – Given

The given points are (6, -6); (4, 3).

Step-2 – To determine

We have to find the slope of the line through the points (6, -6); (4, 3).

Step-3 – Calculation

We compare (6, -6); (4, 3) with $\left(x_1,y_1\right);\left(x_2,y_2\right)$.

here,

$\begin{array}{l}{x}_1=6\\ y_1=-6\\ x_2=4\\ y_2=3\end{array}$

So,$slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{3+6}{4-6}=\frac{-9}{2}=-\frac{9}{2}$.

It means, the slope of the line is $-\frac{9}{2}$.