Q:

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)

Accepted Solution

A:
Answer: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-x₁Putting given values in formula of slope , we havem = 0-(4) / 2-(-6)m = -4/ 2+6m = -4/8 m  = -1/2Putting values in point-slope form, we havey -  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).