Question

Function A and Function B are linear functions. Compare the two functions and choose all that are correct. Can someone help?

Answer 1

(b) and (c) are true

Explanation:

Given

Function A and B

First, calculate the slope of A

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (24 - -21)/(8- -7)`

`m = (45)/(15)`

`m =3`

The equation of function A is:

`y = m(x - x_1) + y_1`

`y = 3(x - 8) + 24`

`y = 3x - 24 + 24`

`y = 3x`

The general form of a function is:

`y = mx + b`

Where
`m = slope` and
`b = y\ intercept.`

This implies that:

`Slope = 3`

`Y\ intercept = 0`

For function B:

`y = 4x - 3`

`Slope = 4`

`Y\ intercept = -3`

By comparison:

(b) and (c) are true