Question

Find the slope of a line that passes through points (–1, –5) and (6, 9). Question 2 options: A) 1∕2 B) –2 C) 4∕5 D) 2

Answer 1

`D) 2`

Explanation:

The slope of a line is used to describe the average rate of change. Often referred to as the (
`(rise)/(run)`), the general formula to find the slope of a line is the following,

`(y_2-y_1)/(x_2-x_1)`

Where (
`x_1,y_1`) and (
`x_2,y_2`) are both points on the line. One is given that the following points are on the line,

`(-1, -5)\\\\(6, 9)`

Substitutes these values into the formula and solve for the slope,

`(9-(-5))/(6-(-1))`

Simplify, remember negative times negative equals positive,

`(9+5)/(6+1)`

Combine like terms,

`(14)/(7)`

Simplify further, remember a fraction is another way of representing division,

`2`