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Algebra I
KEY Review Chapter 4 Graphing
Show your work, most have some
Name
1. Is  3,13, a solution to the linear equation 3x  y  4 . Yes or No
13 

2. Is   1,  a solution to the linear equation  2 x  5 y  15 . Yes or No
5

Find the missing coordinates so that each point is on the line.
3.
 x  3y  0
(6,2)
(3,1)
(6,2)
4. What is the x-intercept and y-intercept of the linear equation y  2 x  4 ?
x-intercept___( - 2 , 0 )_
y-intercept__( 0
,  4 )_
5. What is the x-intercept and y-intercept of the linear equation 4 x  2 y  16 ?
x-intercept___( 4 , 0 )_
y-intercept__( 0 ,  8 )_
Use a table to find at least two ordered pairs for each equation. Use those points to graph the equation.
4
1
y  x3
y  x2
3
3
6. 4 x  3 y  9
7.  x  3 y  6
x y
x y
8.
Find the slope of the linear equation that passes through the points 10,6and 5,4
2
5
9.
Find the slope of the linear equation that passes through the points 12,11and 9,7

4
3
10. Find the slope of the line represented by the table
m= 
1
4
x
y
 25
26
 21
 17
 13
9
25
24
23
22
12. Find the slope of the line
represented by the graph.
m=
11. Find the slope of the line represented by the table
x
y
-2
 15
2
-2
2
9
12
18
13. Find the slope of the line
represented by the graph.
5
3
m= 
2
3
16. Graph the linear equation
using point slope form.
y  3  ( x  2)
y  1  4( x  2)
y  3  1( x  2)
y  1  4( x  2)
m  1, (2,3)
m  4, (2,1)
y
5
x3
3
14. Find the slope of the line
represented by the graph.
m= undefined
15. Graph the linear equation
using point slope form.
18. Change 5 x  3 y  9 into slope intercept
form of an equation.
m = undefined
17. Graph the linear equation
using point slope form.
3
y  5   ( x  2)
2
3
y  5   ( x  2)
2
3
m   , ( 2,5)
2
19. Change  4 x  2 y  10 into slope intercept
form of an equation.
y  2x  5
20. Graph the linear equation
using the slope intercept form,
identify the slope and y-intercept.
21. Graph the linear equation
using the slope intercept form,
Identify the slope and y-intercept.
22. Graph the linear equation
using the slope intercept form,
identify the slope and y-intercept
y  2 x  3
x y 2
3x  2 y  9
m =  2 b = 3
m = 1 b = 2
m= 
3
b = 4.5
2
Graph the following linear equations using whatever method you choose.
23. Graph the linear equation
24. Graph the linear equation
25. Graph the linear equation
y  x
 3x  y  5  0
3x  2 y  2
m = 1 b = 0
m =3 b = 5
m=
26. Graph the linear equation
5 y  5  10
m = 0 b = 1
27. Graph the linear equation
y  2  3 x
m = 3 b =  2
3
b = 1
2
28. Graph the linear equation
4x  12  8
m = undefined b = none
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