Question

What is the slope of the line that contains the points (2, -6) and (-3, 1)?

A.

B.

C.

D.

Answer 1

For this case we have that by definition, the slope of a line is given by:

`m = \frac {y2-y1} {x2-x1}`

We have to:

`(x1, y1) = (2, -6)\\(x2, y2) = (- 3,1)`

Substituting in the given expression we have:

`m = \frac {1 - (- 6)} {- 3-2}\\m = \frac {1 + 6} {- 3-2}\\m = \frac {7} {- 5}\\m = - \frac {7} {5}`

Answer:

`m = - \frac {7} {5}`

Answer 2

The slope is
`m=-(7)/(5)`

Explanation:

The slope of the line passing through
`(x_1,y_1)` and
`(x_2,y_2)` is given by the formula;

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

The given line contains;the points (2, -6) and (-3, 1).

`m=(1--6)/(-3-2)`

`m=(1+6)/(-3-2)`

`m=(7)/(-5)`

The slope is
`m=-(7)/(5)`