Question

Help me I need help plsss

Answer 1

B and F

Explanation:

Given

Functions A and B

Required

Select the true statements

First, determine the equation of A

We have:

`(x_1, y_1) = (1,2)`

`(x_2, y_2) = (3,10)`

Calculate slope (m)

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

`m = (10 - 2)/(3 - 1)`

`m = (8)/(2)`

`m =4`

So, the equation is:

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

`y = 4(x - 1) + 2`

`y = 4x - 4 + 2`

`y = 4x -2`

So, we have:

`y = 4x -2` ------ A

`y = 3x + 4` ---- B

The y intercept is when
`x = 0`

So, we have:

`y = 4 * 0 - 2 = -2` ---- y intercept of A

`y = 3 * 0 + 4 = 4` ---- y intercept of B

By comparison:

`-2 < 4`

Hence: (b) is correct

The rate of change of a function
`y = mx + b` is m

So:

The rate of change of A is:

`m_A=4`

and for B is:

`m_B=3`

By comparison:

`4 > 3`

Hence: (F) is correct