Answer:
option A.
y = (1/2)x - 2
Step-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
= 1/2
To find the equation of the line
Equation of a line passing through the points (x₁, y₁) and slope m is given by,
(y - y₁)/(x - x) = m
Here (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 - 2
The equation of the line is,
y = (1/2)x - 2
The correct answer is option A.
y = (1/2)x - 2
