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 [tex]$(x_1,y_1)$[/tex] and [tex]$(x_2, y_2)$[/tex] be two points that passes through a line. Then the equation of the line is given by:
[tex]\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}[/tex]
Here [tex]$(x_1, y_1) = (-5, 10)$[/tex] and [tex]$(x_2,y_2) = (2, 8)$[/tex]
Therefore, [tex]\frac{y - 10}{-2} = \frac{x + 5}{7}[/tex]
[tex]$ \implies 7y - 70 = -2x - 10 $\\$ \implies 7y = - 2x + 60 $\\$ y = \frac{-2}{7}x + \frac{60}{7}[/tex]
