Question

1. what is the slope of the line that is parallel to the line represented by $y = -\frac{2}{3}x + 5$? enter your answer in the box.

Explanation:

Step1: Recall the slope - intercept form

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

Step2: Analyze the given line

For the line \(y=-\frac{2}{3}x + 5\), by comparing it with the slope - intercept form \(y = mx + b\), we can see that the slope \(m\) of this line is \(-\frac{2}{3}\).

Step3: Recall the property of parallel lines

Parallel lines have the same slope. So, if a line is parallel to the line \(y =-\frac{2}{3}x+5\), it must have the same slope as this line.

Answer:

\(-\frac{2}{3}\)