Exploring Slope, Parallel, and Perpendicular Lines

This video tutorial covers the concept of slope, including how to find it from graphs and points. It explains the relationship between slopes of parallel and perpendicular lines, emphasizing that parallel lines have equal slopes while perpendicular lines have slopes that are negative reciprocals of each other.

What does the term 'rise over run' refer to in the context of finding a slope?

• The angle of the line with respect to the horizontal

• The change in X over the change in Y

• The change in Y over the change in X

• The total distance a line covers

If you move down 5 units and right 4 units on a graph, what is the slope of the line?

• 4/5

• -4/5

• 5/4

• -5/4

How do you find the slope if you are given two points?

• Subtract the Y values and divide by the difference of the X values

• Multiply the Y values and divide by the product of the X values

• Add the Y values and divide by the sum of the X values

• None of the above

What is the slope of a line that goes through the points (0, -19) and (-12, 17)?

• -19/29

• 19/29

• -29/19

• 29/19

What property do parallel lines share regarding their slopes?

• Their slopes are reciprocal

• Their slopes are identical

• Their slopes are opposite

• Their slopes are unrelated

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

• -1/3

• 1/3

• -3

• 3

What is the slope of a line perpendicular to one with a slope of -5/4?

• 5/4

• -5/4

• 4/5

• -4/5

How do the slopes of perpendicular lines relate to each other?

• They are positive reciprocals of each other

• They are both zero

• They are equal

• They are negative reciprocals of each other

What is the slope of a line parallel to the line described by the equation y = 7x + 4?

• 1/7

• -1/7

• -7

• 7

If a line's equation is y = 3x + 1, what is the slope of a perpendicular line?

• 1/3

• -3

• -1/3

• 3