Finding the Equation of a Line Through 2 Points

Introduction

Hey Everyone,

Here's your assignment for today. Complete the webquest, should be a "brush up" on linear equations for you. We'll continue the conversation tomorrow about parallel/perpendicular Lines.

This is due today, submit your answers through Google Classroom using either Word, or Google Docs.

Good Luck!

Task

You're going to use the guided notes we started Thursday, as well as the online resources given in the Process Page, to answer all of the questions, and complete the examples given.

Submit your answers through Google Classroom using either Word, or Google Docs.

Process

Part 1: Finding Slope using 2 Points

http://www.purplemath.com/modules/slope.htm

a. What is the official answer to "Why m for slope?"

b. What is the Slope Formula?

c. Find the Slope of the line that passes through (3,4) and (-2,-5).

 

Part 2: Point-Slope Formula

http://virtualnerd.com/algebra-1/linear-equation-analysis/point-slope-standard-form/point-slope-examples/point-slope-form-definition

a. What is the Point-Slope Formula used for?

b. What two pieces of information do you need to compute the Point-Slope Formula?

c. What is the Point-Slope Formula?

d. Find the Equation of the line that has a slope of -2, and passes through the point (0,2)

e. Find the Equation of the line that has a slope of 3, and passes through the point (1,-4)

 

Part 3: Slope-Intercept Form

http://www.coolmath.com/algebra/08-lines/12-finding-equation-two-points-01

a. What is the first step to finding the Equation of a Line, given 2 points?

b. What is the second step to finding the Equation of a Line, given 2 points?

c. Find the Slope of the Line that passes through (-4,5) and (2,-3)

d. Using the Point-Slope Formula, use the Slope found in the question above, and (-4,5) to find the Equation of the Line.

e. Using the Point-Slope Formula, use the Slope found in question c, and the point (2,-3) to find the Equation of the Line.

f. What do you notice about the answers from questions d and e? Why are they that way?

 

Part 4: Parallel Lines

a. Parallel Lines have __________ slopes?

b. What is the slope of the line that runs parallel to y = 9x + 1?

c. Use the slope found in question b, and the point (2,-2) to find the equation of the line that runs parallel to the line y = 9x + 1 (*Hint: Use the Point-Slope Formula)

d. Find the Equation of the Line that is Parallel to the line y = -4x - 8, and passes through the point (-1,2)

 

Part 5: Perpendicular Lines

a. Perpendicular Lines have ______________ slopes?

b. What is the slope of the line that runs perpendicular to y = 9x + 1?

c. Use the slope found in question b, and the point (2,-2) to find the equation of the line that runs perpendicular to the line y = 9x + 1. (*Hint: Use the Point-Slope Formula)

d. Find the Equation of the Line that is Perpendicular to the line y = -4x - 8, and passes through the point (-1,2)

Evaluation

You will be graded based on accuracy of questions answered, as well as completion.

Conclusion

Congratulations! You have completed your webquest! Work on your ALEKS Pre-assessment if you have not finished. If you have finished, begin working on mastering topics.