Question

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

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: Rewrite the given equation

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

Step3: Identify the slope

Comparing \(y=-5x - \frac{2}{3}\) with \(y = mx + b\), we can see that \(m=-5\). So the slope of the line is \(-5\).

Answer:

A. \(-5\)