AlgebraVery hardY-intercept of a perpendicular line
Algebra practice question
Line l has the equation 3x − 4y = 24. Line m is perpendicular to l and passes through the point (6, 1). What is the y-intercept of line m?
Answer: 9
Line l has slope 3/4, so m has slope −4/3. Then 1 = (−4/3)(6) + b gives b = 9.
Common wrong answers
- If you answered -7
- −7 uses the slope 4/3 instead of −4/3.
- If you answered -3.5
- −3.5 uses the slope 3/4 of line l.
- If you answered -6
- −6 is the y-intercept of line l.
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