Lesson 3.2

Open Ended

Why is the point-slope form of a linear equation significant in mathematics?

Multiple Choice

Which of the following is required to write a linear equation in point-slope form?

• The slope and any point on the line

• The y-intercept and the slope

• Two points on the line

• The x-intercept and the y-intercept

Open Ended

How do you write the equation of a line in point-slope form given a point and a slope?

Multiple Choice

What is the equation of a line in point-slope form that passes through the point (3, -4) with a slope of -1/2?

• y - 4 = -1/2(x - 3)

• y + 4 = -1/2(x - 3)

• y - (-4) = -1/2(x - 3)

• y + 4 = 1/2(x - 3)

Multiple Choice

Which of the following is the correct point-slope form equation for a line passing through (-2, 5) with a slope of 4?

• y - 5 = 4(x + 2)

• y + 2 = 4(x - 5)

• y - 5 = 4(x - 2)

• y + 5 = 4(x + 2)

Fill in the Blanks

Fill in the blank: The slope of the line passing through the points (–1, 5) and (2, –4) is

Multiple Select

Select all the steps needed to write the equation of a line in point-slope form given two points.

• Find the slope using the two points

• Substitute one point into the point-slope formula

• Multiply the points together

• Write the equation in y = mx + b form

Open Ended

Explain why using either point (–1, 5) or (2, –4) in Example 2 results in equivalent equations for the line.

Open Ended

Graph the line represented by the equation y + 5 = -3(x - 3).

Open Ended

What is the total bill for Jameis if he talked on the phone for 427 minutes, given the equation y - 7 = 0.1(x + 20)?

Multiple Choice

Which of the following equations is in point-slope form?

• y - 3 = 2(x + 1)

• y = 2x + 1

• y - 5 = -3(x - 3)

• y = -3x + 9

Open Ended

If Winston ran for 32 minutes, how many miles did he run according to the equation y - 2 = 0.2(x - 10)?

Open Ended

Give an instance where it may be easiest to write an equation in point-slope form. Give an instance where it may be easiest to write an equation in slope-intercept form. Which form do you prefer to use?

Open Ended

How does the point-slope form help when you do not know the y-intercept of a line?

Multiple Choice

What is the point-slope form of a linear equation?

• y - y1 = m(x - x1)

• y = mx + b

• y - y1 = m(x + x1)

• y = m(x - x1) + b