Question

What is the slope of the line that passes through the points (3, -3) and (2, 2)?

a) 1
b) -1
c) 0.5
d) -0.5

Answer 1

The slope of the line through the points (3, -3) and (2, 2) is calculated by taking the difference in y-values divided by the difference in x-values, resulting in a slope of -5.

Step-by-step explanation:

The slope of the line that passes through the points (3, -3) and (2, 2) is calculated using the formula for slope, which is (difference in y-coordinates) / (difference in x-coordinates). The calculation is as follows:

1. Find the difference in y-coordinates: 2 - (-3) = 2 + 3 = 5.
2. Find the difference in x-coordinates: 2 - 3 = -1.
3. Divide the difference in y by the difference in x to get the slope: 5 / -1 = -5.

Thus, the correct answer is b) -5.