AlgebraHardShifting a line to pass through a point
Algebra practice question
In the xy-plane, line ℓ has the equation 4x + 5y = 12. Line m is parallel to ℓ and passes through the point (2, 4). Line m has the equation 4x + 5y = c, where c is a constant. What is the value of c?
Answer: 28
Parallel lines share the left side; substituting (2, 4) gives 8 + 20 = 28.
Common wrong answers
- If you answered 12
- 12 is the constant of line ℓ.
- If you answered 16
- 16 adds 8 and 8, using 4 for both coefficients.
- If you answered -28
- −28 has the sign wrong.
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