What is the slope of a straight line perpendicular to the line 3x - 4y + 7 = 0?
Answer and explanation
Correct answer: B. -4/3
- Step 1: Rewriting 3x - 4y + 7 = 0 in slope-intercept form gives y = (3/4)x + 7/4, so m1 = 3/4. Step 2. The perpendicular slope m2 satisfies m1 m2 = -1, hence m2 = -1 / (3/4) = -4/3. Answer: -4/3. Why not the others:* 3/4 is parallel; -3/4 only negates without inverting; 4/3 inverts without negating.
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