Question

A line passes through the point (-3, -3) and has a slope of 1/2

what is the equation of the line?
A: y = 1/2x - 3/2
B: y = 1/2x + 3/2
C: y = -1/2x - 3/2
D: y = 1/2x - 1/2

Answer 1

The answer is: A. y = 1/2x - 3/2

Explanation:

Given the point (-3, -3) and the slope of 1/2, use the point slope form:

y - y1 = m(x - x1)

y - (-3) = 1/2(x - (-3))

y + 3 = 1/2x + 3/2

y = 1/2x + 3/2 - 3

y = 1/2x + 3/2 - 6/2

y = 1/2x - 3/2

Proof:

f(x) = 1/2x - 3/2

f(-3) = 1/2(-3) - 3/2

= -3/2 - 3/2

= -6/2 = -3, giving the point (-3, -3)