Find the equation of the line that passes through the following two points:(2, -2) and (-2, 6)

Step 1: Find the slope (m) of the line. The formula to find the slope between two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).

Using the given points (2, -2) and (-2, 6), the slope m = (6 - (-2)) / (-2 - 2) = 8 / -4 = -2.

Step 2: Use the point-slope form of a line, which is y - y1 = m(x - x1). You can use either of the given points for (x1, y1). Let's use (2, -2).

Substituting the values, we get y - (-2) = -2(x - 2).

Step 3: Simplify the equation to get it in the slope-intercept form (y = mx + b).

y + 2 = -2x + 4.

Subtract 2 from both sides to get the final equation: y = -2x + 2.