Slope of a line

Multiple Choice

What did Ernie do wrong?

• He put x's on top and y's on bottom (he did run over rise)

• He changed the order of the points.

• He added instead of subtracting.

• He put one point in the numerator and one point in the denominator.

Multiple Choice

Which of the following best describes a line with a positive slope?

• It goes up from left to right

• It goes down from left to right

• It is perfectly horizontal

• It is perfectly vertical

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Open Ended

Why is understanding the concept of slope important in mathematics? Feel free to add why slope is important in the real world; give an example.

Multiple Choice

What is the slope of the line represented in the graph?

• -1

• 0

• 1

• 2

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Fill in the Blanks

Multiple Choice

What is the slope of the line represented in the graph?

• 0

• 1

• 2/3

• 2

Multiple Choice

Graph the following equations of lines given the slope and y-intercept: 4) y = -4x + 5, 5) y = 3/4x - 1, 6) y = 2x - 2, 7) y = -5/2x + 3, 8) y = -4x, 9) y = 3x - 3. What are the slopes and y-intercepts of these equations?

• Slope of 4) is -4, y-intercept is 5; Slope of 5) is 3/4, y-intercept is -1; Slope of 6) is 2, y-intercept is -2; Slope of 7) is -5/2, y-intercept is 3; Slope of 8) is -4, y-intercept is 0; Slope of 9) is 3, y-intercept is -3

• Slope of 4) is 4, y-intercept is 5; Slope of 5) is 3/4, y-intercept is 1; Slope of 6) is 2, y-intercept is 2; Slope of 7) is -5/2, y-intercept is 3; Slope of 8) is -4, y-intercept is 0; Slope of 9) is 3, y-intercept is -3

• Slope of 4) is -4, y-intercept is 5; Slope of 5) is -3/4, y-intercept is 1; Slope of 6) is 2, y-intercept is -2; Slope of 7) is -5/2, y-intercept is 3; Slope of 8) is -4, y-intercept is 0; Slope of 9) is 3, y-intercept is -3

• Slope of 4) is -4, y-intercept is 5; Slope of 5) is 3/4, y-intercept is -1; Slope of 6) is 2, y-intercept is -2; Slope of 7) is -5/2, y-intercept is 3; Slope of 8) is 4, y-intercept is 0; Slope of 9) is 3, y-intercept is -3

Multiple Choice

Find the slope:

• 2
• -2
• 1/2
• -1/2

Multiple Choice

What is the correct method to determine the slope of a line from a graph?

• Choose two points, find the rise and run, then divide rise by run.

• Choose any point and count the number of squares to the y-axis.

• Measure the angle the line makes with the x-axis.

• Count the number of grid squares the line crosses.

Open Ended

Explain how you would find the rate of change from a table of values and interpret its meaning in a real-world context.

Multiple Select

Which of the following statements about slope are correct?

• A positive slope rises as it moves right.

• A negative slope falls as it moves right.

• A zero slope is a horizontal line.

• A vertical line has an undefined slope.

Multiple Choice

Given the equation y = 3x - 3, what is the slope and y-intercept?

• Slope = 3, y-intercept = -3

• Slope = -3, y-intercept = 3

• Slope = 1, y-intercept = -3

• Slope = 3, y-intercept = 3

Open Ended

Describe the steps to write the equation of a line when given its graph.

Open Ended

How confident do you feel about finding the slope of a line given two points? What part of the process do you find most challenging or interesting?

Multiple Choice

What are the possible types of slopes a line can have, and how can you identify them based on the direction of the line?

• Positive, negative, zero, undefined; by observing if the line goes up, down, is horizontal, or vertical

• Only positive and negative; by checking if the line goes up or down

• Only zero and undefined; by checking if the line is horizontal or vertical

• Positive, negative, and zero; by observing if the line goes up, down, or is flat

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident