16Hit1600
AlgebraVery hardConstant making a line pass through a point

Algebra practice question

In the xy-plane, the line 3x + cy = 6, where c is a constant, passes through the point (4, −3). What is the value of c?

Answer: 2

Substitute: 12 − 3c = 6, so 3c = 6 and c = 2.

Common wrong answers

If you answered 6
6 comes from setting 12 − 3c = −6.
If you answered -2
−2 comes from 12 + 3c = 6, missing the sign of −3.
If you answered -6
−6 comes from a double sign error.

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