Question

Which linear function is greater?
a. (-5, -23), (-1, -7), (3, 9)
b. y = 3x - 5

Answer 1

To determine which linear function is greater, we need to compare their slopes.

For the linear function given as points (-5, -23), (-1, -7) and (3, 9), we can calculate the slope using the formula:

m = (y2 - y1) / (x2 - x1)

For the points (-5, -23) and (-1, -7):
m1 = (-7 - (-23)) / (-1 - (-5))
m1 = (16) / (4)
m1 = 4

For the points (-1, -7) and (3, 9):
m2 = (9 - (-7)) / (3 - (-1))
m2 = 16 / 4
m2 = 4

Since the slope is the same for both calculations, it is not possible to determine which linear function is greater based on the given points.

Now, let's consider the linear function y = 3x - 5. The slope of this function is 3, which is greater than the slope calculated for the given points. Therefore, the linear function y = 3x - 5 is greater.