Put the following equation of a line into slope-intercept form, simplifying all fractions.

Question

10, x, plus, 8, y, equals, 72
10x+8y=
72

Answer 1

To convert the equation \(10x + 8y = 72\) into slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:

1. Start with the original equation: \[ 10x + 8y = 72 \]

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

3. Now, divide every term by \(8\) to solve for \(y\): \[ y = -\frac{10}{8}x + \frac{72}{8} \]

4. Simplify the fractions: \[ y = -\frac{5}{4}x + 9 \]

Now, the equation is in slope-intercept form: \[ y = -\frac{5}{4}x + 9 \]