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.

Fill in the Blanks

Using the slope formula, what is the slope of the line that passes through these two points?

(2,2) (6,8)

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

Find the slope from the table:

Fill in the Blanks

Given the point (-5, 1) and the slope 3, write the equation of the line in slope-intercept form.

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.

Fill in the Blanks

The equation of a line in slope-intercept form is y = _ x + b.

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