Question

Use any pair of points to calculate the slope of the line.

Answer 1

Answer:

Using the pair of points (1, 1) and (0, 0) we have calculated the slope of the line

Solution:

Given that, we can use any two points from cartesian plane,  

Let the two points be (0, 0) and (1, 1)  

We have to find the slope of the line that, passes through the chosen two points.

Now, we know that, slope of a line that passes through $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)$ is given by:

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

$\text { Here in our problem, } x_{1}=0, y_{1}=0, x_{2}=1 \text { and } y_{2}=1$

Substitute these values in "m" formula,

$\mathrm{m}=\frac{1-0}{1-0}=\frac{1}{1}=1$

Hence, the slope of the line that passes through (1, 1) and (0, 0) is 1.