Question

find the slope of the line represented by the equation below.
$y = 3 + \frac{5}{2}x$

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y - intercept.

Step2: Rewrite the given equation

The given equation is \(y=3+\frac{5}{2}x\). We can rewrite it in the slope - intercept form \(y = mx + b\) as \(y=\frac{5}{2}x + 3\).
By comparing \(y=\frac{5}{2}x + 3\) with \(y = mx + b\), we can see that \(m=\frac{5}{2}\).

Answer:

\(\frac{5}{2}\)