Question

PLEASE HELP !!

Answer 1

Answer:

Option D

Step-by-step explanation:

when two points are given and we are asked to find the equation of a line passing through those points we use two-point form to arrive at the answer.

Let $(x_1,y_1)$ and $(x_2, y_2)$ be two points that passes through a line. Then the equation of the line is given by:

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

Here $(x_1, y_1) = (-5, 10)$ and $(x_2,y_2) = (2, 8)$

Therefore, $\frac{y - 10}{-2} = \frac{x + 5}{7}$

$\implies 7y - 70 = -2x - 10 \\ \implies 7y = - 2x + 60 \\ y = \frac{-2}{7}x + \frac{60}{7}$