Question

I need some help on this question appreciate it

Answer 1

B.
`y = -(11)/(3)x - (2)/(3)`

Explanation:

The equation of a line is

y = mx + b

Since they gave us two points we could use it to find the slope(m) of the equation. The formula to find the slope of the line is:

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

They gave us the coordinate of the first point: (-2, 6), and the coordinate of the second point: (1, -4)

so, we plug in the x and y values into the slope formula:

`m=(-4-6)/(1-(-2))`

`m=(-11)/(3)`

Since the answer choices all have different slope, we just have to look for the equation with the right slope which is
`(-11)/(3)`, so the answer is C.