Question

Find the slope of the line which passes through the points $A(4,-6)$ and $B(-2,-5)$.

Answer 1

Finding the slope of the line passing through $A(4,-6)$ and $B(-2,-5)$:

The slope of the line joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

For the lines passing through the points $A(4,-6)$ and $B(-2,-5)$, the slope is

$m=\frac{-5-(-6)}{-2-4}$ here $\left[y_2=-5,y_1=-6\&x_2=-2,x_1=4\right]$

$\Rightarrow m=\frac{-5+6}{-6}$

$\Rightarrow m=\frac{-1}{6}$

Hence, the slope of the line passing through the points $A(4,-6)$ and $B(-2,-5)$ is $\frac{-1}{6}$.