Table­Equation­Graph Notes with Answers.notebook
Positive Linear Relationships (Table to Equation)
1.) Table--> Equation
x
y
0
­4
+3
1
­1
+3
2
2
3
5
+3
-4
3
+ ______
Equation: y = _____x
slope
as x increases by 1,
y increases by 3
y -intercept
when x = 0, y = -4
OR: y = 3x - 4
2.) Table--> Equation
x
y
+2
0
­2
+1
+2
2
­1 +1
+2
4
0
+1
6
1
Note: Slope = change in y 1
change in x 2
-2
+ ______
Equation: y = _____x
1/2
slope
as x increases by 1,
y increases by 1/2
y = 1/2x - 2
y -intercept
when x = 0, y = -2
Table­Equation­Graph Notes with Answers.notebook
3.) Table--> Equation
x
y
0
2
+2
1
4
+2
2
6
+2
3
8
2
2
+ ______
Equation: y = _____x
slope
as x increases by 1,
y increases by 2
y -intercept
when x = 0, y = 2
4.) Table--> Equation
+2
+2
+2
x
y
0
3
+2
2
5 +2
4
7
+2
6
9
Note: Slope = change in y 2 = 1
change in x 2
3
Equation: y = _____x
1 + ______
slope
as x increases by 1,
y increases by 1
y=x+3
y -intercept
when x = 0, y = 3
Table­Equation­Graph Notes with Answers.notebook
5.) Table--> Equation
x
y
1
­1
+4
2
3
+4
3
7
4
11
+4
4
-5
+ ______
Equation: y = _____x
slope
as x increases by 1,
y increases by 4
y -intercept
when x = 0, y = -5
y = 4x - 5
(please write y-intercept
without positive sign if negative)
6.) Table--> Equation
x
y
+3
3
0
+3
6
2
9
4
12
6
+3
+2
+2
+2
Note: Slope = change in y 2 change in x 3
-2
2/3 + ______
Equation: y = _____x
y = 2/3x - 2
(please write y-intercept without positive sign if negative)
Table­Equation­Graph Notes with Answers.notebook
7.) Table--> Equation
x
y
­4
0
0
3
4
6
8
9
Note: Slope = change in y 3 change in x 4
3
3/4
+ ______
Equation: y = _____x
8.) Table--> Equation
+4
+4
+4
x
y
4
­7
8
­2
12
3
16
8
+5
+5
+5
-12
5/4 + ______
Equation: y = _____x
y = 5/4x - 12