Answer:
The slope of line through the points (5,-8) and (-2,0) is
![-(8)/(7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7i2dos8g9ir9yc8lnbxhrpldyjglyi2lfg.png)
Explanation:
Given points are:
(5,-8) and (-2,0)
Slope is the steepness of a straight line.
Slope of the line = m =
![(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kb22fsdtkimrfbfy51hnyncxhdjkkxel3s.png)
We will find the slope of the line through points (5,-8) and (-2,0) by putting values in the formula of slope
Here,
![x_1= 5, y_1=-8\\x_2=-2, y_2=0](https://img.qammunity.org/2021/formulas/mathematics/high-school/6m3skjar375rp7jpbygfpmgrpjlik5wgx8.png)
Slope of the line =
![(0-(-8))/(-2-5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/2fho0nbrkkw3urwy0xz37zxhhkhp2ocjk0.png)
Slope of the line =
![(8)/(-7)=-(8)/(7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vmcr4wd9pfw88lmsd8sgl63a6vu8xehwm1.png)
Hence,
The slope of line through the points (5,-8) and (-2,0) is
![-(8)/(7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7i2dos8g9ir9yc8lnbxhrpldyjglyi2lfg.png)