Exploring the Slope of a Line

What is the primary goal of learning about the slope of a line?

• To find the length of a line

• To determine the color of a line

• To find and interpret the slope of a line

• To measure the width of a line

Which of the following represents the slope of a line?

• The ratio of the change in y to the change in x

• The difference between the x and y coordinates

• The sum of the x and y coordinates

• The product of the x and y coordinates

What does the Greek letter delta (Δ) represent in the context of slope?

• Division

• Product

• Sum

• Change in

If a line rises from left to right, what type of slope does it have?

• Negative slope

• Zero slope

• Positive slope

• Undefined slope

How do you calculate the slope using two points (x1, y1) and (x2, y2)?

• (y1 + y2) / (x1 + x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 + x2) / (y1 + y2)

What is the slope of a horizontal line?

• Zero

• Negative

• Undefined

• Positive

What is the slope of a vertical line?

• Undefined

• Zero

• Positive

• Negative

What can be said about the slopes of parallel lines?

• They intersect at one point

• One is positive and the other is negative

• They have the same slope

• They have different slopes

In the context of a space probe approaching a comet, what does a slope of -2/3 represent?

• The distance is increasing by 2 miles every 3 minutes

• The distance is reducing by 2 miles every 3 minutes

• The distance is increasing by 3 miles every 2 minutes

• The distance is reducing by 3 miles every 2 minutes

If two lines have slopes of 4 and 5, are they parallel?

• Yes, because they have different slopes

• No, because they have different slopes

• Yes, because they are both positive

• No, because they are both positive