Understanding Perpendicular Lines and Slope-Intercept Form

The video tutorial explains how to draw a line perpendicular to a given line on a graph. It starts by identifying the slope of the given line and finding the negative reciprocal to determine the slope of the perpendicular line. The tutorial then demonstrates graphing the perpendicular line through a specific point and finding its y-intercept. Finally, it verifies the equation of the perpendicular line both graphically and algebraically, ensuring the solution is correct.

What is the initial task described in the video?

• To find the area of a triangle.

• To find a line parallel to a given line.

• To find a line perpendicular to a given line.

• To find the midpoint of a line segment.

What is the slope of the line given in the problem?

• -4

• 1

• 4

• 0

How do you find the slope of a line perpendicular to another line?

• By subtracting 1 from the slope.

• By adding 1 to the slope.

• By taking the negative reciprocal of the slope.

• By doubling the slope.

What is the significance of the negative reciprocal in this context?

• It helps find the area.

• It helps find the midpoint.

• It helps find the perpendicular line.

• It helps find the parallel line.

What tool is used to graph the perpendicular line?

• Rectangle tool

• Line tool

• Polygon tool

• Circle tool

What is the y-intercept of the perpendicular line found graphically?

• 8

• 6

• 4

• 0

What is the equation of the perpendicular line in slope-intercept form?

• y = 1/4x + 6

• y = -4x + 7

• y = -1/4x + 6

• y = 4x - 7

How is the y-intercept verified algebraically?

• By graphing the line again.

• By substituting the point into the equation.

• By measuring the line on paper.

• By using a calculator.

What is the final step in verifying the equation of the perpendicular line?

• Verifying the y-intercept algebraically.

• Drawing another line.

• Rewriting the equation.

• Checking the slope again.

What is the final conclusion about the perpendicular line's equation?

• It is verified both graphically and algebraically.

• It is incorrect.

• It is only verified graphically.

• It needs further verification.