Answer: -20
Step 1: Write an equation
To start off, we will need to write an equation. To do so, we will use the equation for slope, using rise/run. M represents the slope.
M= rise/ run
Step 2: Substitute information
Now that we know the equation, we can substitute information given to us in the question. Let’s start by replacing m with -5, as we are told that this is the slope.
M= rise/ run
-5= rise/ run
Great! Now let’s change the run. The run is said to be 4, so we will put this on the bottom of the fraction, under the rise.
-5= rise/ run
-5= rise/4
Step 3: Solve
Now that we have our final equation, we can solve for the rise. We can do so by getting rise alone on the right side, by undoing the division. Let’s multiply each term by 4, isolating rise in the process.
-5= rise/4
-5 (4)= rise/4 (4)
-20= rise
Step 4: Check your answer
For our rise, we got -20 as an answer. Let’s check if this is correct by getting the original equation, and substituting all of our information.
M= rise/ run
-5= -20/4
-5= -5
This is correct! The rise is -5. Hope this helps! Comment below for more questions.