Exploring Slope Relationships in Geometry

What is the formula to find the slope between two points?

• x2 - x1 + y2 - y1

• (y2 - y1) / (x2 - x1)

• Rise over run

• y2 + y1 / x2 + x1

What characteristic do parallel lines share regarding their slopes?

• Their slopes are opposite

• Their slopes are undefined

• Their slopes are the same

• Their slopes are reciprocal

How can you tell if two lines are parallel by looking at their slopes?

• If one slope is the negative of the other

• If their slopes are equal

• If their slopes are reciprocal

• If their slopes multiply to -1

If a line has a slope of 2/3, what is the slope of a line parallel to it?

• 3/2

• -2/3

• 2/3

• -3/2

How do you draw a line parallel to another through a specific point?

• Use a different slope through the point

• Use the negative of the slope through the point

• Use the same slope through the point

• Use the reciprocal slope through the point

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

• -4

• 4

• 1/4

• -1/4

What is the product of the slopes of two perpendicular lines?

• Undefined

• -1

• 0

• 1

What does it mean for two lines to be perpendicular in terms of their slopes?

• One slope is double the other

• Their slopes add up to 0

• Their slopes are opposite reciprocals

• Their slopes are equal

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

• -3

• -1/3

• 1/3

• 3

When drawing a perpendicular line through a point, what is crucial about the slope?

• It must be the same as the original line

• It must be the negative reciprocal of the original line

• It must be double the original line's slope

• It must be half of the original line's slope