Question

**Marking Brainliest** Which of the following are point-slope equations of the line going through (-4, 6) and (1, 2)? Check all that apply.​

Answer 1

Answer:

Options A and D

Step-by-step explanation:

Point Slope is:

$y-y_1=m(x-x_1)\\\rightarrow 'm' - Slope\\\rightarrow (x_1,y_1) - Coordinate$

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.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{1+4}=\frac{-4}{5} =-\frac{4}{5}$

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):

$y-6=-\frac{4}{5}(x+4)$

With (1,2) as (x1,y1):

$y-2=-\frac{4}{5}(x-1)$

Options A and D should be the correct answers.

Brainliest Appreciated.

Answer 2

Answer:

A C D E are correct choices