Graphing & Writing Linear Equations
Name:__________________________
This project applies many of the topics we learned in Chapters 4 and 5 on Writing and Graphing Linear
Equations. It will be worth 50 points.
Complete each set for the following equations:
(a) (1 pts) Graph the linear equation using the y-intercept and the slope. Draw this line in black (or
plain lead) pencil. USE A RULER.
(b) (2 pts) Find the equation of the line parallel through point A. Write this equation in slope-intercept
form. YOU MUST SHOW YOUR WORK FOR THIS STEP. Label this step on your notebook paper.
(c) (1 pts) Graph the line parallel to the linear equation through the given point A. Sketch the line in
red pencil. When you graph this equation, make sure both the given point A and the y-intercept are
labeled on your graph. USE A RULER.
(d) (1 pt) Find the slope of any line perpendicular to the slope of the given line.
(e) (2 pts) Find the equation of the line perpendicular through the given point B using the point-slope
form of the linear equation. Write your final answer for this step in slope-intercept form. YOU
MUST SHOW YOUR WORK FOR THIS STEP. Label this step on your notebook paper.
(f) (1 pts) Graph the line perpendicular to the linear equation through the given point B. Sketch the
line in blue pencil. When you graph this equation, make sure both the given point B and the yintercept are labeled on your graph. USE A RULER.
(1) Graph: y 2x 5
Find the line parallel through A(1, −4).
Find the line perpendicular through B(−2, 4).
16
(4) Graph: 3x 4y
Find the line parallel though A(8, 3).
Find the line perpendicular through B(6, 1).
4x 1
(2) Graph: y
Find the line parallel through A(–3, 7).
Find the line perpendicular through B(0, −3).
(5) Graph: x 7y 35
Find the line parallel through A(−7, −2).
Find the line perpendicular through B(1, −1).
y
5
x
3
(3) Graph:
Find the line parallel through A(–6, –6).
Find the line perpendicular through B(–5, 5).
(6) Graph: y 4
Find the line parallel through A(2, –5).
Find the line perpendicular through B(4, 3).
FOUR ADDITIONAL POINTS will be added for the overall neatness of your work.
Show all of your work on the notebook paper. Label all of your work clearly and neatly. Sketch all of your
graphs on the Geyer Graph paper (provided). In the space next to each of your graphs, write the answers
(not the work) for parts (b), (d), and (e).
Staple this sheet, your graph paper and your notebook paper together with this sheet on top.
Project Score: ________