SLOPES!

What is the definition of slope?

• The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

• The slope of a line is the angle it makes with the x-axis, measured in degrees.

• The slope of a line is the distance between two points on the line.

• The slope of a line is a measure of its length. It is calculated as the total distance divided by the number of points on the line.

If a line has a slope of 1, what can you say about the angle it makes with the x-axis?

• It makes a 30-degree angle with the x-axis.

• It makes a 45-degree angle with the x-axis.

• It makes a 60-degree angle with the x-axis.

• It makes a 90-degree angle with the x-axis.

What is the slope of a vertical line?

• 0

• 1

• undefined

• infinity

What does a negative slope indicate about a line?

• A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

• A negative slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

• A negative slope indicates that the line is horizontal and does not change in height.

• A negative slope indicates that the line is vertical and does not change in width.

Find the slope of the line passing through the points (2, 3) and (5, 7).

• 1

• 4/3

• 2

• 3/4

What does a slope of zero mean?

• The line is vertical, indicating a change in the y-coordinate as the x-coordinate changes.

• The line is horizontal, indicating that there is no change in the y-coordinate as the x-coordinate changes.

• The line has a positive slope, indicating an increase in the y-coordinate as the x-coordinate increases.

• The line has a negative slope, indicating a decrease in the y-coordinate as the x-coordinate increases.

What is the slope of the line represented by the points (1, 2) and (3, 6)?

• 1

• 2

• 3

• 4

What does a positive slope indicate about a line?

• A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

• A positive slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

• A positive slope indicates that the line is horizontal and does not change in height.

• A positive slope indicates that the line is vertical and does not change in width.

What is the slope of a horizontal line?

• 0

• 1

• -1

• Undefined

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

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y2 + y1) / (x2 - x1)