Put the following equation of a line into slope-intercept form, simplifying all fractions. $$ 6 x+4 y=16 $$

Question

UpStudy AI · Accepted Answer

To convert the equation $$ 6x + 4y = 16 $$ into slope-intercept form ($$ y = mx + b $$), follow these steps:

1. **Isolate the $$ y $$-term:**  
   Subtract $$ 6x $$ from both sides of the equation to move the $$ x $$-term to the other side:
   $$
   4y = -6x + 16
   $$

2. **Solve for $$ y $$:**  
   Divide every term by $$ 4 $$ to solve for $$ y $$:
   $$
   y = \frac{-6x}{4} + \frac{16}{4}
   $$

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

**Final Slope-Intercept Form:**
$$
y = -\frac{3}{2}x + 4
$$

Here, the slope ($$ m $$) is $$ -\frac{3}{2} $$ and the y-intercept ($$ b $$) is $$ 4 $$.
The equation in slope-intercept form is $$ y = -\frac{3}{2}x + 4 $$.

Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 6 x+4 y=16 \]

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Algebra Questions