A line passes through the points (1, 2) and (3, 6). What is the equation of the line?
Show answer & explanation
Correct answer: A
Explanation
Given:
Point ₁ = (1, 2)
Point ₂ = (3, 6)
By the formula:
Slope m = (y₂ − y₁) / (x₂ − x₁)
Equation of the line: y₂ − y₁ = m(x− x₁)
m = (6 − 2) / (3 − 1)
m = 4 / 2
m = 2
y− 2 = 2(x− 1)
y− 2 = 2x−2
y = 2x