Question

What is the slope of the line containing the points (-6,1) and (5,3)

Answer 1

The slope of the line containing the points (-6, 1) and (5, 3) is $\frac{2}{11}$

Solution:

Given that we have to find the slope of the line containing the points (-6, 1) and (5, 3)

$\text{The slope of points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by: }$

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

Here in this question,

$(x_1, y_1) = (-6, 1)\\\\(x_2, y_2) = (5, 3)$

Substitute the values in above mentioned formula,

$m = \frac{3-1}{5-(-6)}$

Simplify the above expression

$m = \frac{2}{5+6}\\\\m = \frac{2}{11}$

Thus the slope of the line containing the points (-6, 1) and (5, 3) is $\frac{2}{11}$