The line through (2, -1) and parallel to a line with slope of 3/4

y = 3/4x - 5/2

Step-by-step explanation:

The first thing you should know is that when a line is parallel, the slope is the same. So, this is our current equation: y = 3/4x + b. Plug in the point to the equation to get this: -1 = 3/4(2) + b. 3/4 times 2 equals 3/2. This is what it should look like: -1 = 3/2 + b. Subtract 3/2 from both sides to get -5/2 = b. Go back to your original equation and plug in -5/2 into b. This is your final equation: y = 3/4x - 5/2. Hope this helped!