Writing Perpendicular Line Equations in Slope-Intercept Form

What is the first step in writing the equation of a line that passes through a given point and is perpendicular to another line?

• Identify the coordinates of the given point

• Calculate the distance between the points

• Determine the slope of the given line

• Find the y-intercept of the line

What are the coordinates of point A in the given problem?

• (-1, -3)

• (0, 0)

• (3, 5)

• (4, -2)

How do you find the slope of line AB?

• By adding the x-coordinates of points A and B

• By subtracting the y-coordinates of points A and B and dividing by the difference in x-coordinates

• By multiplying the coordinates of points A and B

• By finding the midpoint of points A and B

What is the slope of line AB?

• 1/2

• -1/2

• -2

• 2

How do you determine the slope of a line perpendicular to line AB?

• By doubling the slope of line AB

• By subtracting 1 from the slope of line AB

• By taking the negative reciprocal of the slope of line AB

• By adding 1 to the slope of line AB

What is the perpendicular slope to line AB?

• -2

• 2

• -1/2

• 1/2

Which form of the equation is used to find the line's equation with the given point and slope?

• Slope-intercept form

• Standard form

• Quadratic form

• Point-slope form

What is the value of b (y-intercept) in the final equation?

• 2

• -2

• 0

• 4

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

• y = -2x + 3

• y = 1/2x - 2

• y = -1/2x + 0

• y = 2x + 4

What are the two key components needed to write the equation of any line?

• A point and a y-intercept

• Two points

• A slope and a y-intercept

• A point and a slope