A question that really stumped me up was “Determine the value of k”

Question: U(2,5) V(k,3) with a slope of 2/7

Slope being rise over run.

Rise, you have to find the difference between y1 (5) and y2 (3) which is simple, 2. Run, you don’t know what k is so you just leave it with 2-k. This is where things got tough for me, I didn’t know what the next step was but then I remembered… You always was the variable to be the top, the numerator. How to do that? One reciprocates; but what you do to one side, you must do to the other (step 3). Now, It’s just basic algebra; you want to get k all by itself. What you are doing in dividing by 2 so to get rid of 2, you must multiply both sides by 2. What’s left is 7=2-k. Take 2, bring it to the other side which becomes negative. Step 5, you don’t want to end up with a negative variable so divide each side by -1 which gives you the missing #, -5.