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
`(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=(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 = (3-1)/(5-(-6))`

Simplify the above expression

`m = (2)/(5+6)\\\\m = (2)/(11)`

Thus the slope of the line containing the points (-6, 1) and (5, 3) is
`(2)/(11)`