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iragen [17]
3 years ago
15

What is the slope of the line repersented by 5x-12y=24

Mathematics
1 answer:
levacccp [35]3 years ago
3 0
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

----------------------------------------------
Answer: Slope = 5/12 (Answer D)
----------------------------------------------

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