AlgebraHardSlope of a line built from two other lines' intercepts
Algebra practice question
In the xy-plane, line m has the same y-intercept as the line 5x + 2y = 20 and the same x-intercept as the line x + y = 8. What is the slope of line m?
Answer: -5/4 or -1.25
The y-intercept of 5x + 2y = 20 is 10 and the x-intercept of x + y = 8 is 8, so m passes through (0, 10) and (8, 0): slope = −10/8 = −5/4.
Common wrong answers
- If you answered 5/4
- 5/4 loses the sign.
- If you answered -4/5
- −4/5 inverts the ratio.
- If you answered -5/2
- −5/2 is the slope of the first line.
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