16Hit1600
AlgebraVery hardConstant so that a line passes through an intersection

Algebra practice question

In the xy-plane, the lines x + y = 9 and x − y = 1 intersect at a point P. For what value of c does the line y = 2x + c pass through P?

Answer: -6

P is (5, 4), and 4 = 2(5) + c gives c = −6.

Common wrong answers

If you answered 4
4 is the y-coordinate of P.
If you answered 6
6 has the sign wrong.
If you answered -1
−1 swaps the coordinates of P to (4, 5), giving 5 = 8 + c.

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