Question

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

Answer 1

To rewrite the equation \(3x - 2y = -16\) in slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:

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

2. Isolate \(y\) on one side of the equation. First, subtract \(3x\) from both sides:
\[
-2y = -3x - 16
\]

3. Next, divide every term by \(-2\) to solve for \(y\):
\[
y = \frac{3}{2}x + 8
\]

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

Thus, the correct option is:
\[
y = \frac{3}{2}x + 8
\]