Write the Equation of a Line Perpendicular Through a Point

This video tutorial explains how to write the equation of a line perpendicular to another line through a given point. It covers the concept of opposite reciprocals, the use of point-slope form, and how to handle special cases like horizontal and vertical lines. The tutorial also demonstrates finding slopes from standard form equations and emphasizes the importance of understanding the relationship between slopes of perpendicular lines.

What is the opposite reciprocal of a slope of -5?

• 1/5

• 5

• -1/5

• -5

Which form is most efficient for writing the equation of a line given a point and a slope?

• Slope-intercept form

• Standard form

• Point-slope form

• Quadratic form

How can you find the slope from an equation in standard form?

• By converting it to point-slope form

• By using the formula M = -A/B

• By graphing the equation

• By using the quadratic formula

What is the slope of a line perpendicular to a line with a slope of 4/3?

• -3/4

• -4/3

• 3/4

• 4/3

What is the equation of a vertical line passing through the point (-2, -5)?

• x = -2

• y = -5

• y = -2

• x = -5

If y = 7, what type of line does this represent?

• Horizontal line

• Vertical line

• Diagonal line

• Undefined line

What is the slope of a horizontal line?

• Negative

• Zero

• Undefined

• Positive