Question

PLEASE HELP !!

Which of the following equations represents the line that passes through the points (-5, 10) and (2, 8)?

Select one:
A. y=−2x/7 + 7/60
B. y=−2x/7 + 7
C. y=−7x/2 + 60/7
D. y=−2x/7 + 60/7

Answer 1

Option D

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:

`(y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1)`

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

Therefore,
`(y - 10)/(-2) = (x + 5)/(7)`

`$ \implies 7y - 70 = -2x - 10 $\\$ \implies 7y = - 2x + 60 $\\$ y = (-2)/(7)x + (60)/(7)`