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
