Question

what is the slope of the line: 6x-3y=15
type your answer in the boxes

Explanation:

Step1: Rewrite in slope-intercept form

We start with the equation \(6x - 3y = 15\). We want to solve for \(y\) to get it into the form \(y = mx + b\), where \(m\) is the slope. First, subtract \(6x\) from both sides:
\(-3y = -6x + 15\)

Step2: Solve for \(y\)

Divide every term by \(-3\) to isolate \(y\):
\(y=\frac{-6x}{-3}+\frac{15}{-3}\)
Simplify each term:
\(y = 2x - 5\)
In the slope - intercept form \(y = mx + b\), the coefficient of \(x\) (which is \(m\)) is the slope. So the slope \(m = 2\).

Answer:

2