Q:

What is the equation of the line that passes through the points (2, –1) and (6, 1)? A.y=1/2x -2 B.y=2x-5 C.y=-1/2x-1 D. y=-2x-3

Accepted Solution

A:
Answer:option A.y = (1/2)x - 2Step-by-step explanation:It is given that, line that passes through the points (2, –1) and (6, 1)Slope m = (y₂ - y₁)/(x₂ - x₁)  = (1 - -1)/(6 - 2)  = (1 + 1)/4 = 2/4  = 1/2To find the equation of the lineEquation of a line passing through the points (x₁, y₁)  and  slope  m is given by,(y - y₁)/(x - x) = mHere (x₁, y₁) = (2, -1) and m = 1/2(y - -1)/(x - 2) = 1/2(y + 1) = (x - 2)/2 y = -1 + x/2 - 2/2   =  -1 + x/2 - 1  = x/2 - 2The equation of the line is,y = (1/2)x - 2The correct answer is option A.y = (1/2)x - 2