Help please!!! 10 points
2 answers:
Answer:
0
Step-by-step explanation:
The equation of a line can always be represented as .
We know the slope is 5, but this doesn't matter right now as we're looking for the y-intercept.
If there is nothing added to the slope, you always assume the y-intercept is (0, 0). It would have stated otherwise, like if the equation was , then the y-intercept would be (0, 6).
So the y-value of the y-intercept of this equation is 0.
Hope this helped!
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We have:
Thus:
Adding
gives:
Factoring gives:
Thus, we have:
or
.
Note that because
, there will be no solutions 
of the form 
for positive integer 
and solution 
. So we find the basic values of 
giving 
.
For with positive , 
(this can be seen easily from the unit circle. But 
, a contradiction. So we examine the case in which .
In this case,
. So this is the only solution to this equation.
Substituting this back in, we have
, as desired. So this is a valid solution.
Thus,.
Thus:
Adding
Factoring gives:
Thus, we have:
or
Note that because
For
In this case,
Substituting this back in, we have
Thus,