Question

TUAR DETERMINE THE RATE OF CHANGE

Answer 1

The slope of the line  that passes through (5, 4) and  (-4,3) is $\frac{1}{9}$

Solution:

Given, two points are (5, 4) and (-4, 3)  

We have to find the slope of a line that passes through the above given two points.

Slope of a line that pass through $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text { Here, in our problem, } x_{1}=-4, y_{1}=3 \text { and } x_{2}=5, y_{2}=4$

$\text { slope } m=\frac{4-3}{5-(-4)}=\frac{1}{5+4}=\frac{1}{9}$

Hence, the slope the line that passes through the given points is $\frac{1}{9}$