Sure you could as long as you have the point.
for example let's say the slope is 2 and the point we are given is (4,4)
we know that:

plug in the values given
x=4
y=4
m=2

b, the y intercept equals -4.
so:

in this case
For this case we have that by definition, a quadratic equation is of the form:

Where:
: It is the quadratic term
bx: It is the linear term
c: It is the independent term
So, if we have the following expression:

We rearrange:

We have to:
-7: It is the quadratic coefficient
1: It is the linear coefficient
4: It is the independent term
ANswer:
-7: It is the quadratic coefficient
1: It is the linear coefficient
4: It is the independent term
C is the answer to your question