Question

Determine the slope of the line that passes through the points (-4, 6) and (0, 4).

A) -2

B) -1/2

C) 1

D) 2

Answer 1

B) -1/2

Explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer 2

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

Explanation:

A=(-4, 6)

B = (0, 4)

We will use two point slope form

Formula : Slope =
`m = (y_2-y_1)/(x_2-x_1)`

where slop

`A=(x_1,y_1)=(-4, 6)`

`B=(x_2,y_2)=(0,4)`

Substitute the values in the formula :

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

`m = (4-6)/(0+4)`

`m = (-2)/(4)`

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

So, Option B is true

Hence the slope of the line that passes through the points (-4, 6) and (0, 4) is
`m = (-1)/(2)`