Question

Please need help on this one h as be no clue how to do this

Answer 1

`y=(1)/(6)x+(2)/(3)`

Explanation:

(8,2) (2,1)

First, you will need to find the gradient (or the m value in
`y=mx+b`)

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

y2=1

y1=2

x2=2

x1=8

Now we can plug in these values to get the m value.

`m=(1-2)/(2-8)`

Because the numerator and the denoinator will be negative, we needed to divide them to get a positive fraction.

`m=(-1)/(-6) \\m=(1)/(6)`

Now we need to find the line of the equation using the following equation:

`y-y1=m(x-x1)`

Now plug in the values using x1 and y1.

`y-2=(1)/(6) (x-8)`

We can use the distributive property to distribute the
`(1)/(6)`.

`y-2=(1)/(6)x-(4)/(3)`

Lastly, we can add 2 to both sides to cancel out the -2 on the left to give us our equation.

`y=(1)/(6)x+(2)/(3)`