Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0). (2 points)

y − 4 = − one half (x + 6)

y − 4 = 2(x + 6)

y + 6 = − one half (x − 4)

y + 6 = 2(x − 4)

Choice A is correct answer.

Step-by-step explanation:

We have given two points.

Let (x₁,y₁) = (−6, 4) and  (x₂,y₂) = (2, 0)

We have to find the point-slope form of equation  that passes through the points.

y-y₁ = m(x-x₁) where m is slope and (x₁,y₁) is a point that passes through the line.

slope = m = y₂-y₁ / x₂-x₁

Putting given values in formula of slope , we have

m = 0-(4) / 2-(-6)

m = -4/ 2+6

m = -4/8

m  = -1/2

Putting values in point-slope form, we have

y -  4 = -1/2(x-(-6))

y-4 = -1/2 (x+6)

y-4 = - one half(x+6) is point-slope form of equation that that passes through the  points (−6, 4) and (2, 0).

answer:

c. the third graph