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

Question

UpStudy AI · Accepted Answer

To convert the equation $$10x + 8y = 72$$ into slope-intercept form ($$y = mx + b$$), follow these steps:

1. **Isolate the $$y$$-term:**
   $$
   8y = -10x + 72
   $$

2. **Solve for $$y$$ by dividing every term by 8:**
   $$
   y = \frac{-10}{8}x + \frac{72}{8}
   $$

3. **Simplify the fractions:**
   $$
   y = -\frac{5}{4}x + 9
   $$

**Final Answer:**
$$
y = -\frac{5}{4}x + 9
$$
$$ y = -\frac{5}{4}x + 9 $$

Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 10 x+8 y=72 \]