Question

Can someone help me with this problem and help me understand it better

Answer 1

Proved

Explanation:

Given

The attached table

Required

Prove that Lydia is incorrect

Firat, calculate the slope (m)

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

Where:

`(x_1,y_1) = (5,19)`

`(x_2,y_2) = (4,15)`

So, we have:

`m = (15 - 19)/(4 - 5)`

`m = (-4)/(-1)`

`m=4`

The equation is then calculated using:

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

Where:

`(x_1,y_1) = (5,19)` and
`m=4`

This gives:

`y - 19 = 4(x-5)`

`y - 19 = 4x-20`

Make y the subject

`y = 4x-20+19`

`y = 4x-1`

The above shows the equation. Hence, the Lydia is correct