Question

im not sure how to complete this table . Part a.

Answer 1

In order to solve this exercise, you need to remember the following definitions:

1. The slopes of Paralell lines are equal.

2. The slopes of Perpendicular lines are opposite reciprocals.

The equation of a line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case you have the following equation of a line written in Slope-Intercept form:

$y=\frac{1}{2}x+6$

So you can identify that the slope of this line is:

$m=\frac{1}{2}$

Therefore, you can determine that the answers are:

-The Slope of a parallel line is:

$m_{\text{par}}=\frac{1}{2}$

- The Slope of a perpendicular line is:

$m_{\text{per}}=-2$