To find the slope of a linear equation, we rearrange the equation into the format y = mx + b
5x - 12y = 24 // Equation given
5x - 12y + 12y = 24 + 12y // Add 12y on both sides
5x = 24 + 12y // Simplify
5x - 24 = 24 + 12y - 24 // Subtract 24 from both sides
5x - 24 = 12y // Simplify
12y = 5x - 24 // Switch sides to make y the subject
12y ÷ 12 = (5x - 24) ÷ 12 // Divide by 12 on both sides
y = 5/12 x - 2 // Simplify
Once we write the equation in this format, we match it against the general equation y = mx + b
we can conclude that m = 5/12
Therefore the slope is 5/12
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Answer: Slope = 5/12 (Answer D)
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