Question

Write the slope-intercept form of the equation.
3x - 2y = - 16
O y = 3/2 * x + 8
y = 2x + 5
y = 5x - 16
y = 3x + 5

Answer 1

To convert the equation \(3x - 2y = -16\) into slope-intercept form (\(y = mx + b\)), we need to solve for \(y\).

1. Start with the original equation:
\[
3x - 2y = -16
\]

2. Subtract \(3x\) from both sides:
\[
-2y = -3x - 16
\]

3. Divide each term by \(-2\) to isolate \(y\):
\[
y = \frac{3}{2}x + 8
\]

So the slope-intercept form of the equation is:
\[
y = \frac{3}{2}x + 8
\]

Among the options you provided, the correct one is:
**\(y = \frac{3}{2}x + 8\)**.