Question

Which of these linear functions has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3? Select three that apply.
A)
y = 5x + 2

B)
y = 7x + 4

C)
y = 2x + 8

D)
y = 9x + 1

E)
y = 6x + 3

F)
y = 8x + 5

Answer 1

Answer: the correct options are B, D and F

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

m = slope = rate of change

Looking at the equations given, the three that apply are

B) slope = 7

y intercept = 4

It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3

D) y = 9x + 1

slope = 9

y intercept = 1

It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3

F) y = 8x + 5

slope = 8

y intercept = 5

It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3