Aline passes through (3,-6) and (-7,-4) is parallel to a line represented by which of the following equations?

a. x+5y=6
b. x+1/2y=7
c. y-2x=-9
d. 2y-x=-8

Option A is correct.

Step-by-step explanation:

Given:

Two points are given (3,-6) and (-7,-4).

We need to find the line that is parallel to the line which is passes through the points (3,-6) and (-7,-4).

The slope of the line is.

Now, we substitute all given value in above equation.

We know that the parallel lines has same slope, so we check the option one by one.

Option A,

Now, we write the above equation in standard form .

Where

The slope of the above line is , so the line   is parallel to the line which is passes through the points (3,-6) and (-7,-4), so there is no need to check the other choices.

Therefore, Option A is correct.