How to find an equation to a line perpendicular and through a point

The video tutorial explains how to find equations of lines that are parallel and perpendicular to a given line using the slope-intercept method. It highlights the importance of understanding that parallel lines have the same slope, while perpendicular lines have opposite reciprocal slopes. The tutorial walks through the process of calculating the perpendicular slope, solving for the y-intercept, and finalizing the equation. The main focus is on the differences in slopes between parallel and perpendicular lines and how to apply these concepts to find the correct equations.

What is the relationship between the slopes of parallel lines?

• They are reciprocal.

• They are opposite.

• They are negative.

• They are equal.

How do you find the opposite reciprocal of a slope of 3/8?

• -3/8

• 3/8

• -8/3

• 8/3

What is the first step in finding the equation of a perpendicular line using the slope-intercept method?

• Determine the opposite reciprocal slope.

• Calculate the midpoint.

• Find the y-intercept.

• Plot the points on a graph.

In the example provided, what is the value of 'b' in the perpendicular line equation?

• 10

• 2/3

• -32/3

• 8/3

What is the main difference between parallel and perpendicular lines?

• They have the same length.

• Their y-intercepts are the same.

• Their slopes are different.

• They intersect at the same point.