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

Question

Put the following equation of a line into slope-intercept form, simplifying all fractions. $$ 3 x-y=-6 $$

UpStudy AI · Accepted Answer

To convert the equation $$ 3x - y = -6 $$ into **slope-intercept form** $$ y = mx + b $$, follow these steps:

1. **Start with the given equation:**
   $$
   3x - y = -6
   $$

2. **Isolate the $$ y $$-term:**
   $$
   -y = -3x - 6
   $$

3. **Multiply both sides by $$ -1 $$ to solve for $$ y $$:**
   $$
   y = 3x + 6
   $$

**Final Answer in Slope-Intercept Form:**
$$
y = 3x + 6
$$

Here, the **slope** ($$ m $$) is **3**, and the **y-intercept** ($$ b $$) is **6**.
The equation in slope-intercept form is $$ y = 3x + 6 $$.

Upstudy AI Solution