Answer:
Options A and D
Step-by-step explanation:
Point Slope is:
[tex]y-y_1=m(x-x_1)\\\rightarrow 'm' - Slope\\\rightarrow (x_1,y_1) - Coordinate[/tex]
We need to find the equation for the line that passes through (-4, 6) and (1, 2).
We are only given the two points, so we need to use them to find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{1+4}=\frac{-4}{5} =-\frac{4}{5}[/tex]
The slope is -4/5. There are more than one option, as they use the same slope but the two different points.
With (-4,6) as (x1,y1):
[tex]y-6=-\frac{4}{5}(x+4)[/tex]
With (1,2) as (x1,y1):
[tex]y-2=-\frac{4}{5}(x-1)[/tex]
Options A and D should be the correct answers.
Brainliest Appreciated.
