Question

The SLOPE of which linear function is greater?
a. y = 4x + 1
b. (3, 10), (-8, -10)

Answer 1

To find the slope of the linear function represented by the two points (3, 10), (-8, -10), we first need to calculate the change in y and the change in x:

Change in y = -10 - 10 = -20
Change in x = -8 - 3 = -11

Now, we can calculate the slope using the formula:

Slope = change in y / change in x
Slope = -20 / -11
Slope = 20 / 11

The slope of the linear function represented by the two points (3, 10), (-8, -10) is 20/11.

Now, let's compare the slopes of the two linear functions:

a. y = 4x + 1
The slope of this linear function is 4.

b. (3, 10), (-8, -10)
The slope of this linear function is 20/11.

Since 20/11 is greater than 4, the slope of the linear function represented by the two points (3, 10), (-8, -10) is greater than the slope of the linear function y = 4x + 1.