Question

what is the slope of the line represented by the equation $y = \frac{4}{5}x - 3$?
3
$-\frac{4}{5}$
$-3$
$\frac{4}{5}$

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify \(m\) in the given equation

The given equation is \(y=\frac{4}{5}x - 3\). Comparing this equation with the slope - intercept form \(y=mx + b\), we can see that \(m=\frac{4}{5}\) and \(b=- 3\). So the slope of the line is \(\frac{4}{5}\).

Answer:

\(\frac{4}{5}\) (the option corresponding to \(\frac{4}{5}\) in the given choices)