Question

Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)

Answer 1

`- \frac { 8 } { 7 }`

Explanation:

We are given the following two points on a line and we are to find the slope of this line:

(-3, 6) and (4,-2)

We know the formula of the slope is given by:

`\frac { y_2 - y_1 } { x_2 - x_1 }`

Substituting the given coordinates in the above formula to get:

Slope =
`\frac { - 2 - 6 } { 4 - - 3 } = - \frac { 8 } { 7 }`

Answer 2

Answer:
`m=-(8)/(7)`

Explanation:

To calculate the slope of the line that has the coordinates given in the problem you must use the formula shown below:

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

Given the points (-3, 6) (4,-2), when you substitute them into the eequation shown above, you obtain that the slope is the following:

`m=(-2-6)/(4-(-3))\\m=-(8)/(7)`