Question

The equation of a line that contains the points (2, -2) and (0, 2) is ____________.

a) y = 0
b) x = -2
c) y = -2
d) x = 0

Answer 1

The equation of the line that contains the points (2, -2) and (0, 2) is y = -2x + 2.

Step-by-step explanation:

The equation of a line that contains the points (2, -2) and (0, 2) can be found using the point-slope formula. Here are the steps to find the equation:

1. First, find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
2. Using the slope and one of the given points, substitute the values into the point-slope formula: y - y1 = m(x - x1).
3. Substitute the values and simplify the equation to find the final answer.

Applying these steps, we find that the equation of the line is y = -2x + 2.