How to write the equation of a line perpendicular to another through a point

The video tutorial explains how to write the equation of a line that is perpendicular to a given line, specifically y = 4/3x + 6, and passes through a specific point (-4, -1). It covers the properties of perpendicular lines, focusing on the relationship between their slopes, which are negative reciprocals of each other. The tutorial demonstrates how to calculate the new slope and solve for the y-intercept using the given point, resulting in the equation y = -3/4x - 4.

What is the relationship between the slopes of two perpendicular lines?

• They are equal.

• They are negative reciprocals of each other.

• They are both negative.

• They are both positive.

If a line has a slope of 4/3, what would be the slope of a line perpendicular to it?

• -3/4

• 3/4

• -4/3

• 4/3

Which point does the new perpendicular line pass through in this example?

• (4, 1)

• (-4, -1)

• (-4, 1)

• (4, -1)

What is the y-intercept of the new line that is perpendicular to y = 4/3x + 6 and passes through (-4, -1)?

• 4

• -6

• -4

• 6

What is the final equation of the line that is perpendicular to y = 4/3x + 6 and passes through (-4, -1)?

• y = -3/4x - 4

• y = 3/4x + 4

• y = -3/4x + 4

• y = 3/4x - 4