Question

8 Compare the slope in the equation

3
y = 5x + 2 with the slope shown in the ordered
pairs below. Which has a greater rate of
change?
{(1, 2.6), (3, 3.8), (5, 5), (7, 6.2)}
n

Answer 1

The slope in the equation y = 5x + 2 has a greater rate of change than the slopes in the ordered pairs.

Step-by-step explanation:

The equation y = 5x + 2 has a slope of 5. To compare it with the slopes in the ordered pairs, we need to calculate the difference in y-values and x-values for each pair. For (1, 2.6), the difference in y-values is 2.6 - 2 = 0.6 and the difference in x-values is 1 - 0 = 1. So, the slope is 0.6/1 = 0.6. Similarly, you can calculate the slopes for the other ordered pairs.

Comparing the slopes:

• The slope in the equation y = 5x + 2 is 5.
• The slopes for the ordered pairs are: 0.6, 0.6, and 0.6.

Therefore, the slope in the equation y = 5x + 2 has a greater rate of change compared to the slopes in the ordered pairs.

Learn more about slope in linear equations