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

The video tutorial explains how to find a line perpendicular to a given equation, Y = -4/3X + 5, that passes through the point (0, 2). It begins by graphing the original equation to understand its slope and Y-intercept. The tutorial then discusses the properties of perpendicular lines, emphasizing that they have opposite reciprocal slopes. Finally, it calculates the equation of the perpendicular line, resulting in Y = 3/4X + 2, ensuring it passes through the specified point.

What is the y-intercept of the line given by the equation Y = -4/3X + 5?

• 2

• -4/3

• 5

• 0

Which of the following is true about the slopes of perpendicular lines?

• They are equal.

• They are both positive.

• They are both negative.

• They are reciprocals of each other.

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

• 4/3

• -3/4

• 3/4

• -4/3

What is the y-intercept of the perpendicular line that passes through the point (0, 2)?

• 0

• 5

• 2

• -4/3

What is the equation of the line that is perpendicular to Y = -4/3X + 5 and passes through (0, 2)?

• Y = -4/3X + 2

• Y = 3/4X + 2

• Y = -3/4X + 2

• Y = 3/4X + 5