Question

Question 1
1 pts
Convert the following equation to slope-intercept form.
5x + 6y = 18
y = - 5/6 * x + 3
y = - 5/6 * x - 3
y = - 3x - 5/6
y = 3x - 5/6

Answer 1

To convert the equation \(5x + 6y = 18\) to slope-intercept form (\(y = mx + b\)), we can follow these steps:

1. Start with the original equation:
\[ 5x + 6y = 18 \]

2. Isolate \(y\) by subtracting \(5x\) from both sides:
\[ 6y = -5x + 18 \]

3. Divide every term by \(6\) to solve for \(y\):
\[ y = -\frac{5}{6}x + 3 \]

So, the equation in slope-intercept form is:
\[ y = -\frac{5}{6}x + 3 \]

Thus, the correct answer is:
**y = -5/6 * x + 3**.