Question

What is the slope of the line that passes through the pair of point? (5, 7), (2, 1)

Answer 1

The slope of the line that passes through the pair of point (5, 7), (2, 1) is 2

Solution:

Given that line that passes through the pair of point (5, 7), (2, 1)

To find: slope of the line

The slope of line is given as:

For a line passing through two points
`(x_1, y_1)` and
`(x_2, y_2)` slope is given as:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

Here in this problem,

`\left(x_(1), y_(1)\right)=(5,7) \text { and }\left(x_(2), y_(2)\right)=(2,1)`

Substituting the values in above formula,

`m=(1-7)/(2-5)=(-6)/(-3)=2`

Thus the slope of given line is 2