Find the gradient (slope) of the straight line with linear equation: 4x - 6y + 15 = 0.
Answer and explanation
Correct answer: C. 2/3
- Step 1: Rearrange into slope-intercept form y = mx + c: 6y = 4x + 15. Step 2. Divide by 6: y = (4/6)x + 15/6 = (2/3)x + 5/2. Step 3. The gradient is m = 2/3. Answer: 2/3. Why not the others: -2/3 has the wrong sign; 3/2 inverts the fraction; -4/6 combines both errors.
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