Through (5, -2), parallel to y=-3/4x-4

Step-by-step explanation:

A line going through the point and parallel to .

Let's first go over the parent linear equation, . is your output value that one would see after inputting an value into an equation. In the case of the given point, is our value. is a variable that we put into an equation. In the case of the given point for this question, is our value. is our slope for a linear equation. Slope can be represented as a fraction whose numerator is the rise or fall of your line, and the denominator is the run of your line. is your -intercept.If your function is parallel to , then you already know that your slope is . Let's see how this impacts our parent function:

Now, how do we find ? This is where the given line comes into play. If our line has to go through the point , then let's plug in these values for our and , and solve for .

Our final equation is: