Find the equation of a line parallel to 5x−4y=3 that contains the point (−3,2).

Step-by-step explanation:

To find a line that is parallel, we need to find a line with the same slope. Remember the formula y = mx + b? We need to put this equation into this form to find m, which is the slope.

In other words, let's solve for y:

So our slope is

Now we need to use that equation again to find b (the y-intercept) of the different equation. To do this, we plug in (-3,2) for x and y in that formula. Remember, it has the same slope so we don't need to worry about finding that again.

Now that we know our slope and our b, we can plug those into the formula one last time to get our answer.

This is the answer in slope intercept form

your answer would be 10x - 1