Question

Please help and explain

Answer 1

(a)

`(2,0)`

(b)

`(0,-2)`

Explanation:

Given

`(x_1,y_1)= (4,2)` --- point

`m =1` -- slope

Solving (a): The zeros of the function

First, we calculate the equation using:

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

This gives:

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

Open bracket

`y = x - 4+ 2`

`y = x -2`

The zeros also is:
`y=0`

`0 = x - 2`

`x =0+2`

`x =2`

So, the solution to be is

`(2,0)`

(b) The y intercept is:

Substitute
`x=0`

`y = 0 -2 = -2`

We have:

`(0,-2)`