16Hit1600
AlgebraVery hardSlope from an equation with unknown coefficients

Algebra practice question

In the xy-plane, the line ax + by = 0 passes through the point (6, 4), where a and b are nonzero constants. What is the slope of the line?

Answer: 2/3

A line through the origin and (6, 4) has slope 4/6 = 2/3.

Common wrong answers

If you answered 4
4 is the y-coordinate of the point.
If you answered 3/2
3/2 inverts the slope.
If you answered -2/3
−2/3 has the sign wrong.

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