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question put the following equation of a line into slope - intercept fo…

Question

question put the following equation of a line into slope - intercept form, simplifying all fractions. $10x + 8y = 72$

Explanation:

Step1: Isolate the y - term

Subtract \(10x\) from both sides: \(8y=-10x + 72\)

Step2: Solve for y

Divide each term by 8: \(y=-\frac{10}{8}x+\frac{72}{8}\)

Step3: Simplify fractions

\(y =-\frac{5}{4}x + 9\)

Answer:

\(y=-\frac{5}{4}x + 9\)