Question

question 16
find the slope of the line.
3x - 2y = 9

• 3/2
• 9/2

3/2

• 2/3

Explanation:

Step1: Rewrite in slope-intercept form

We need to convert the equation \(3x - 2y = 9\) to the form \(y = mx + b\), where \(m\) is the slope. First, isolate \(y\). Subtract \(3x\) from both sides: \(-2y=-3x + 9\).

Step2: Solve for y

Divide every term by \(-2\): \(y=\frac{-3}{-2}x+\frac{9}{-2}\), which simplifies to \(y = \frac{3}{2}x-\frac{9}{2}\). In the slope - intercept form \(y = mx + b\), the coefficient of \(x\) (\(m\)) is the slope. So the slope \(m=\frac{3}{2}\).

Answer:

C. 3/2 (assuming the third option is labeled as C, with text "3/2")