Question

Find the slope of the line that passes through points (2, 2) and (-2, -2).

a) 1
b) -1
c) 2
d) -2

Answer 1

The slope of the line passing through the points (2, 2) and (-2, -2) is calculated by dividing the change in y by the change in x, resulting in a slope of 1. Option a is the correct answer.

Step-by-step explanation:

To find the slope of the line that passes through the points (2, 2) and (-2, -2), you need to use the formula for slope, which is (change in y)/(change in x), also known as 'rise over run'. In mathematical terms, this is written as (y2 - y1) / (x2 - x1).

For our points, (x1, y1) is (2, 2) and (x2, y2) is (-2, -2). Thus, the slope calculation is as follows:

1. Subtract the y-values (which is the rise): -2 - 2 = -4.
2. Subtract the x-values (which is the run): -2 - 2 = -4.
3. Divide the difference in y-values by the difference in x-values: -4 / -4 = 1.

The slope of the line through the points (2, 2) and (-2, -2) is therefore 1, which means option a is the correct answer.