Question

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

Explanation:

Step1: Recall 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: Identify \(m\) in the given equation

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

Answer:

\(\frac{4}{5}\) (corresponding to the option \(\boldsymbol{\frac{4}{5}}\))