Graphing Supplement 1.) Draw the following lines: a. Draw a line through the point p that has a slope of 1/3. Label It A. b. Draw a line through the point p that has a slope of 1/2. Label It B. c. Draw a line through the point p that has a slope of 3/2. Label It C. d. Draw a line through the point p that has a slope of 5/3. Label It D. P
2.) Draw the following lines: e. Draw a line through the point p that has a slope of ‐1/3. Label It A. f. Draw a line through the point p that has a slope of ‐1/2. Label It B. g. Draw a line through the point p that has a slope of ‐3/2. Label It C. h. Draw a line through the point p that has a slope of ‐5/3. Label It D. P
3.) The points labeled A through G are A=(___ , ___) B=(___ , ___) C=(___ , ___) D=(___ , ___) E=(___ , ___) F=(___ , ___) G=(___ , ___) y
C
5
4
3
B
1
E
2
-5
-4
-3
-2
D
-1
1
2
3
4
x
5
-1
F
-2
A
-3
c G
-4
-5
4.) Place the labels in the appropriate space on the graph: A= (1,1) B=(2,‐1) C=(‐3,2) D=( ‐4 ‐1) E=(4,0) F=(3,‐2) y
6
5
4
3
2
1
-6
-5
-4
-3
-2
-1
-1
x
1
2
3
4
5
6
-2
-3
-4
-5
-6
5.) State the slope of the line: m=__________ What is the y intercept? Y int = (__ , ___ ) What is the equation of the line y=_________ y
5
4
3
2
1
x
-5
-4
-3
-2
-1
1
2
3
4
5
-1
-2
-3
-4
-5
6.) State the slope of the line: m=__________ What is the y intercept? Y int = (__ , ___ ) What is the equation of the line y=_________ y
5
4
3
2
1
x
-5
-4
-3
-2
-1
1
2
3
4
5
-1
-2
-3
-4
-5
7.) Find the x‐intercept and the y‐intercept for the following equations, and plot each of the lines on the graph, with the appropriate letter labeling them. A: 2x+3y=12 B: 5y‐4x=20 C: 2x‐4y=8 5
4
(note in part B, 3
the y variable is first.) 2
y
6
1
-6
-5
-4
-3
-2
-1
-1
-2
-3
-4
-5
x
1
2
3
4
5
6
-6
8. Make a table of (x,y) values for the following equations: y=
2
x −1
3
y=
1
x+2
2
y=
−3
x 2
When done, identify the slope and y‐
intercept and use this information to plot the equations. Compare these to what you found using the tables x y x y x y – your graphs should be identical (Choose x values such that the y values are whole numbers) and plot below. y
y
5
5
4
4
3
3
2
2
1
1
x
x
-5
-4
-3
-2
-1
1
2
3
4
-5
5
-4
-3
-2
-1
1
-1
-1
-2
-2
-3
-3
-4
-4
2
3
4
5
-5
-5
9.) Plot the equations y=3, y=‐2 , x=1 and x=4 y
5
y
6
4
5
4
3
2
3
2
1
x
1
-6
-5
-4
-3
-2
-1
-1
x
1
2
3
4
5
-5
-4
-3
-2
-1
1
3
4
5
-1
6
-2
-3
-2
-4
-5
-4
-6
2
-3
-5
10.) Find the following equations: (a,b,c: use point slope form) A. Find the equation of the line passing through the points (1,‐2) and (‐3,2) m=___, y=___________ B. Find the equation of the line passing through the points (3,6) and (2,1) m=___ , y=___________ C. Find the equation of the line passing through the points (‐1,0) and (0,3) m=___ , y=___________ D. Find the equation of the line passing through the point (0,1) with a slope of ½, y=___________ (use slope intercept) plot and label each of them. y
6
5
4
3
2
1
-6
-5
-4
-3
-2
-1
-1
-2
-3
-4
-5
-6
x
1
2
3
4
5
6