Put the following equation of a line into slope-intercept form, simplifying all fractions. $$ 2 x-4 y=-16 $$

Question

UpStudy AI · Accepted Answer

To convert the equation $$ 2x - 4y = -16 $$ to slope-intercept form ($$ y = mx + b $$), follow these steps:

1. **Isolate the $$ y $$-term:**
   $$
   2x - 4y = -16 \
   -4y = -2x - 16
   $$

2. **Solve for $$ y $$ by dividing both sides by $$-4$$:**
   $$
   y = \frac{-2x - 16}{-4}
   $$

3. **Simplify the fractions:**
   $$
   y = \frac{-2x}{-4} + \frac{-16}{-4} \
   y = \frac{1}{2}x + 4
   $$

So, the equation in slope-intercept form is:

$$
y = \frac{1}{2}x + 4
$$
The equation in slope-intercept form is $$ y = \frac{1}{2}x + 4 $$.

Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 2 x-4 y=-16 \]