Question

A line passes through the point (0, 2) and has a slope of -1/2. What is the equation of the line?

A) 2x+y=4
B)x-2y=4
C)x+2y=4

Answer 1

C) x + 2y = 4

Explanation:

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept (0, b)

We have (0, 2) → b = 2 and m = -1/2. Substitute:

y = -1/2x + 2 multiply both sides by 2

2y = -x + 4 add x to both sides

x + 2y = 4