Question

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

Answer 1

Answer:

Proved

Step-by-step explanation:

Given

The attached table

Required

Prove that Lydia is incorrect

Firat, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

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

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

So, we have:

$m = \frac{15 - 19}{4 - 5}$

$m = \frac{-4}{-1}$

$m=4$

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