Question

TUAR DETERMINE THE RATE OF CHANGE

8. Find the slope of the line
that passes through (5, 4) and
(-4,3).
Find the slope of the line​

Answer 1

The slope of the line that passes through (5, 4) and (-4,3) is
`(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=(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=(4-3)/(5-(-4))=(1)/(5+4)=(1)/(9)`

Hence, the slope the line that passes through the given points is
`(1)/(9)`