Understanding Slope and Its Calculation

What does the slope of a line measure?

• The length of the line

• The area under the line

• The steepness of the line

• The volume enclosed by the line

Which formula is used to find the slope of a line given two points (x1, y1) and (x2, y2)?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 - y1) / (x2 - y2)

• (x2 + x1) / (y2 + y1)

For the points (3,1) and (5,8), what is the 'rise' (vertical change) when calculating the slope?

• 2

• 5

• 7

• 8

What is the slope of the line that passes through the points (3,1) and (5,8)?

• 2/7

• 7/2

• 5/3

• 3/5

What type of slope does a line have if it moves upward as it goes from left to right?

• A negative slope

• A positive slope

• A zero slope

• An undefined slope

When using the slope formula (y2 - y1) / (x2 - x1), what is a common mistake to avoid?

• Forgetting to subtract the y-coordinates

• Mixing up which point is (x1, y1) and which is (x2, y2) for the x and y values

• Not simplifying the resulting fraction

• Always making the denominator positive

What is the slope of the line that passes through the points (-8, 6) and (0, 2)?

• 1/2

• -1/2

• 2

• -2

What is the slope of the line that passes through the points (-7, 4) and (-1, 9)?

• 5/6

• -5/6

• 6/5

• -6/5