Question

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

Answer 1

y = -1/2x - 1

Explanation:

We can use the point-slope form of the equation:

y-y1 = m(x-x1)

Where the given y1 = -2, x1 = 2, and m = -1/2. This yields:

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

y + 2 = -1/2x + 1

y = -1/2x +1 - 2

y = -1/2x - 1