Answer:
[tex]m = \frac{-1}{2}[/tex]
Step-by-step explanation:
A=(-4, 6)
B = (0, 4)
We will use two point slope form
Formula : Slope = [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where slop
[tex]A=(x_1,y_1)=(-4, 6)[/tex]
[tex]B=(x_2,y_2)=(0,4)[/tex]
Substitute the values in the formula :
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{4-6}{0+4}[/tex]
[tex]m = \frac{-2}{4}[/tex]
[tex]m = \frac{-1}{2}[/tex]
So, Option B is true
Hence the slope of the line that passes through the points (-4, 6) and (0, 4) is [tex]m = \frac{-1}{2}[/tex]
