Question

extra practice (mcgraw hill): determine whether each pair of lines is parallel, perpendicular, or neither.

Explanation:

Step1: Recall slope - related rules

Parallel lines have equal slopes. Perpendicular lines have slopes that are negative reciprocals of each other.

Step2: Find slopes using two - point formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For each pair of lines, identify two points on each line and calculate their slopes.

Step3: Compare slopes

If the slopes are equal, the lines are parallel. If the product of the slopes is - 1, the lines are perpendicular. If neither of these is true, the lines are neither parallel nor perpendicular.

Since no specific coordinates are given for the points on the lines in the image, we cannot perform the actual calculations. But the general steps to solve such a problem are as above.

If we assume we have two lines with slopes $m_1$ and $m_2$:

• If $m_1=m_2$, the lines are parallel.
• If $m_1\times m_2=- 1$, the lines are perpendicular.
• If $m_1

eq m_2$ and $m_1\times m_2
eq - 1$, the lines are neither parallel nor perpendicular.

We need the coordinates of the points on the lines to give a definite answer.

Answer:

We need the coordinates of the points on the lines to determine if the pairs of lines are parallel, perpendicular, or neither.