Lesson 3.2

Multiple Select

Determine if each graph represents a function.

• A

• B

• C

• D

• E

Drag and Drop

Explain the process for simplifying the expression 3(2x + 5) – 8x. What steps would you to simplify?

Placeholder

(1) -

Placeholder

(2) -

(3) -

(4) -

Drag these tiles and drop them in the correct blank above

Distribute

Combine like terms

Solve

Letters to the left

Two Step Equation

Math Response

What is the expression in simplest form?

$$3\left(2x+5\right)-8x$$

Type answer here

Correct Answer: -2x+15

Deg^°

Rad

Multiple Choice

Which steps are necessary to write a linear equation from a graph in slope-intercept form?

• Find the x-intercept and write the equation in standard form.

• Locate the y-intercept, find the slope, and write the equation in y = mx + b form.

• Calculate the slope using any two points and write the equation in point-slope form.

• Locate the vertex and write the equation in vertex form.

Math Response

Write the equation for the graph in slope-intercept form.

Type answer here

Correct Answer: y=-\frac{3}{4}x+1

Deg^°

Rad

Multiple Choice

What is the formula used to calculate the slope between two points on a line?

• Slope = $$\frac{y_2-y_1}{x_1-x_2}$$

• $$\frac{x_2-x_1}{y_2-y_1}$$

• $$\frac{y_1-y_2}{x_1-x_2}$$

• $$\frac{y_2-y_1}{x_2-x_1}-$$

Multiple Choice

What is the slope of the line passing through the points (1, -1) and (3, -5)?

• -2

• 2

• -4

• 0

Labelling

Fill in the slope formula:

Point # 1: $$\left(6,-3\right)$$

Point # 2: $$\left(1,2\right)$$

Drag labels to their correct position on the image

1

2

-3

6

Multiple Choice

Which of the following pairs of points will result in a slope of zero?

• (5, 3) and (-2, 3)

• (3, 2) and (8, 5)

• (1, -1) and (3, -5)

• (6, -2) and (6, 4)

Open Ended

Describe the steps required to write a linear equation in slope-intercept form when given two points.

Multiple Choice

What is the equation of a line that has a slope of 4/3 and passes through the point (-3, 1)?

• y = 4/3x + 5

• y = 4/3x - 5

• y = 3/4x + 5

• y = -4/3x + 5

Multiple Select

Which of the following statements are true about the slope and y-intercept in the context of Hugo's swimming pool problem?

• The slope represents gallons added per minute.

• The y-intercept represents the initial amount of water in the pool.

• The slope represents gallons drained per minute.

• The y-intercept represents the final amount of water in the pool.

Open Ended

How are the different methods for finding the slope-intercept equation for a line (using a graph, a table, given the slope and a point, or given two points) similar and different?

Math Response

Write a linear equation for the graph.

Type answer here

Correct Answer: y=-\frac{1}{2}x+3

Deg^°

Rad

Open Ended

Reflecting on today's lesson about writing linear equations from key information, what is one concept you would like to understand better or explore further?

Multiple Choice

Which of the following graphs does NOT represent a function?

• a. Parabola

• b. Straight line

• c. Wavy curve

• d. Sideways parabola