Question

Which equation represents a line which is parallel to the line 6x - 5y = 5?

Answer 1

Answer:

y = 6/5x - 2

Step-by-step explanation:

First we need to put the equation given in slope intercept form, y = mx + b

6x - 5y = 5

Solve for y

6x - 5y = 5

Subtract 6x from both sides

-5y = -6x + 5

Divide both sides by -5

y = 6/5x - 1

Now we have the equation in slope intercept form

y = 6/5x - 1

We want to find the equation that would be parallel to it

Parallel lines have the same slope

The equation y = 6/5x - 1 has a slope of 6/5 so an equation that is parallel to it would also have a slope of 6/5

The only equation that has a slope of 6/5 is the top left one therefore that is the answer

Answer 2

Answer:

y = 6/5x - 2

Step-by-step explanation:

Simplify the given equation:

$6x-5y=5\\-5y=-6x+5\\y=\frac{6}{5}x-1$

In order for another equation to be parallel, it must have the same slope. Therefore, y = 6/5x - 2 is the correct answer.