Question

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

Answer 1

Answer:

B) -1/2

Step-by-step 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

Answer:

$m = \frac{-1}{2}$

Step-by-step explanation:

A=(-4, 6)

B = (0, 4)

We will use two point slope form

Formula : Slope = $m = \frac{y_2-y_1}{x_2-x_1}$

where slop

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

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

Substitute the values in the formula :

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{4-6}{0+4}$

$m = \frac{-2}{4}$

$m = \frac{-1}{2}$

So, Option B is true

Hence the slope of the line that passes through the points (-4, 6) and (0, 4) is $m = \frac{-1}{2}$