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:

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

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,

$m=\frac{1-7}{2-5}=\frac{-6}{-3}=2$

Thus the slope of given line is 2