pedro took a total of 40 quizzes over the course of 5 weeks. how many weeks of school will pedro have to attend thsi quarter before he will have taken a total of 48 quizzes? solve using unit rates

As we can see, we have to find the x and y intercepts. We can do this by plugging in 0 for either y or x.
Let’s look for the y intercept.
-6(0)-6=0-6=-6
(0)^2-5(0)-6=0-0-6=-6
They both equal -6 when x is 0.
We can now eliminate the first and third number.
Let’s see what the x intercept is.
0=-6x-6
6=-6x
-6/6=-1
Let’s check the other equation.
-1^2-5(-1)-6
1+5-6
6-6
0
So the answer is the fourth option, (0,-6) and (-1,0).