Question

Can someone find the equation please?

Answer 1

`y=3x-5`

Explanation:

We can use slope intercept form
`y=mx+b`

m is the slope and b is the y intercept

We can use the slope formula
`(y_(2) -y_(1) )/(x_(2)-x_(1) )` to find m

I will use the first 2 points to find slope

`(13-7)/(6-4) \\(6)/(2)\\ 3`

Now that we know the slope we can fill it into the formula

y=3x+b

Now to find b we fill in any points and I will use the first one (4,7)

`7=3(4)+b`

`7=12+b`

Subtract both sides by 12

`-5=b`

Now we can fill in b to complete equation

`y=3x-5`

Hope this helps please let me know if you have any further questions