Question

The slope of the line containing the points (-2, 3) and (-3, 1) is

-2/5
1/2
2

Answer 1

The answer for the slope is 2.

Answer 2

Option 3rd is correct

The slope of the line containing the points (-2, 3) and (-3, 1) is 2.

Explanation:

Slope of the given two points is given by:

`\text{Slope} = (y_2-y_1)/(x_2-x_1)` ...[1]

As per the statement:

Consider the points (-2, 3) and (-3, 1)

where,

`x_1 = -2`,
`y_1 = 3`,
`x_2 = -3` and
`y_2 = 1`

Substitute in [1] we have;

`\text{Slope} = (1-3)/(-3+2)`

⇒
`\text{Slope} = (-2)/(-1)`

Simplify:

`\text{Slope} =2`

Therefore, The slope of the line containing the points (-2, 3) and (-3, 1) is 2