SOLUTION: Find two equations with graphs that intersect at (3,-1).Show that (3,-1) makes both equations true.

Question 174127This question is from textbook algebra 1
: Find two equations with graphs that intersect at (3,-1).Show that (3,-1)
makes both equations true. This question is from textbook algebra 1

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Pick two other points. They can be anything you like, so long as they are different from (3,-1) and you don't have all three points on the same line.

(2,0) and (4,0) are convenient.

Now, find the equation of the line that passes through both (3,-1) and the first point you chose using the two-point form of the line:

Let = (3,-1) and = (2,0)

So: → → is the equation for the line through the points (2,0) and (3,-1). Showing that (3,-1) makes the equation true is a simple matter of substituting 3 for x and -1 for y and showing that the result is a true statement.

Now all you need to do is select another point and use the same process shown above to create the other equation and demonstrate that (3,-1) is in the solution set.
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