Perpendicular Lines and Slopes

The video tutorial explains how to find the equation of a line perpendicular to a given line. It covers the concept of opposite reciprocal slopes and demonstrates the process through two examples. The first example finds a line perpendicular to y = 5x + 1 that passes through the point (-5, 2). The second example involves a line perpendicular to 3x + 2y = 5, passing through (-3, 4). The tutorial emphasizes the importance of finding the slope and using the y = mx + b formula to determine the y-intercept.

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

• They are negative reciprocals of each other.

• They are equal.

• They are both positive.

• They are both negative.

If a line has a slope of 5, what is the slope of a line perpendicular to it?

• -1/5

• 1/5

• -5

• 5

What is the first step in finding the equation of a line perpendicular to y = 5x + 1?

• Plot the point on a graph.

• Solve for x.

• Find the y-intercept.

• Determine the opposite reciprocal slope.

In the equation y = mx + b, what does 'b' represent?

• The midpoint of the line.

• The y-intercept.

• The x-intercept.

• The slope of the line.

What is the equation of the line perpendicular to y = 5x + 1 that passes through (-5, 2)?

• y = -5x + 2

• y = 1/5x - 1

• y = 5x + 1

• y = -1/5x + 1

What is the first step in finding the slope of a line from the equation 3x + 2y = 5?

• Divide by 5.

• Multiply by 2.

• Subtract 3x from both sides.

• Add 3x to both sides.

After rearranging 3x + 2y = 5, what is the slope of the line?

• -3/2

• 3/2

• -2/3

• 2/3

What is the opposite reciprocal of the slope -3/2?

• -3/2

• -2/3

• 2/3

• 3/2

What is the y-intercept of the line perpendicular to 3x + 2y = 5 that passes through (-3, 4)?

• -2

• 4

• 2

• -4

What is the equation of the line perpendicular to 3x + 2y = 5 that passes through (-3, 4)?

• y = -2/3x - 2

• y = 2/3x + 2

• y = 2/3x - 2

• y = -2/3x + 2