Question

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

A. y = 3x – 10
B. y = 2x – 14
C. y = 3x + 14
D. y = x + 4

Answer 1

A

Explanation:

Answer 2

`m = (y_(2) - y_(1))/(x_(2) - x_(1)) = (2 - -(4))/(4 - 2) = (2 + 4)/(2) = (6)/(2) = 3`

y - y₁ = m(x - x₁)
y - (-4) = 3(x - 2)
y + 4 = 3(x) - 3(2)
y + 4 = 3x - 6
- 4 - 4
y = 3x - 10

The answer is A.