Questions: Just output the content of the question, DO NOT output additional information or explanations.

Transcript text: Just output the content of the question, DO NOT output additional information or explanations.

Solution

Solution Steps

To solve the problem of determining if two lines are parallel or perpendicular, we need to find the slopes of the lines. Let's go through the steps to find the slopes and determine the relationship between the lines.

Step 1: Determine the Slope from Ordered Pairs

If you are given ordered pairs \((x_1, y_1)\) and \((x_2, y_2)\), use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Calculate the slope for each line using their respective ordered pairs.

Step 2: Determine the Slope from Linear Equations

If you are given linear equations in the form \(y = mx + b\), the slope \(m\) is directly given by the coefficient of \(x\).

Step 3: Convert to Slope-Intercept Form

If the linear equations are not in the form \(y = mx + b\), rearrange them to this form to identify the slope. For example, if you have an equation like \(Ax + By = C\), solve for \(y\) to get: \[ y = -\frac{A}{B}x + \frac{C}{B} \] Here, the slope \(m\) is \(-\frac{A}{B}\).