Question

what is the slope of the line represented by the equation $y = -\frac{2}{3} - 5x$?
options: -5, 5, $-\frac{2}{3}$, $\frac{2}{3}$

Explanation:

Step1: Recall slope-intercept form

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

Step2: Rewrite the given equation

The given equation is \(y=-\frac{2}{3}-5x\). We can rewrite it in the form \(y = mx + b\) as \(y=-5x-\frac{2}{3}\).

Step3: Identify the slope

By comparing \(y=-5x - \frac{2}{3}\) with \(y = mx + b\), we can see that \(m=-5\).

Answer:

\(-5\) (corresponding to the option: \(-5\))