Question

What is the slope of the line that passes through the points (1,3) and (8,7)​

Answer 1

The slope of the line passing through the points (1,3) and (8,7) is
`(4)/(7)`

Solution:

We know the slope intercept of the line is given by y = mx + c, where m is the slope of the line and c is a constant.

To find the value of ‘m’ we use the given formula:

`\mathrm{m}=(y_(2)-y_(1))/(x_(2-) x_(1))`

Here we get
`x_(1)=1 ; x_(2)=8 ; y_(1)=3 ; y_(2)=7`

Substituting the values in formula for m, we get

`\mathrm{m}=(7-3)/(8-1)`

`\mathrm{m}=(4)/(7)`

Therefore the slope of the line passing through the points (1,3) and (8,7) is
`(4)/(7)`