What is the slope of the line repersented by 5x-12y=24 a -2 b 24/5 c-12 d 5/12 ps: if you can can you add steps so i could understand .

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


Slope = 5/12 (Answer D)