Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics

1. Graphing Lines
slope & y-intercept
&
x- & y- intercepts
Jeffrey Bivin
Lake Zurich High School
Jeff.bivin@lz95.org
Last Updated: September 6, 2007

2. Graphing Lines
Jeff Bivin -- LZHS

3. y = 2x + 1
Rise
Run
2
1
slope
y-intercept
1
2
=
run
rise
b = 1
m = 2
y = 2x + 1
Jeff Bivin -- LZHS

4. y = -3x + 2
Rise
Run
-3
1
slope
y-intercept
1
3−
=
run
rise
b = 2
m = -3
y = -3x + 2
Jeff Bivin -- LZHS

5. Rise
Run
2
3
slope
y-intercept
3
2
=
run
rise
b = -1
1
3
2
−= xy
Jeff Bivin -- LZHS
3
2
=m

6. Rise
Run
-1
2
slope
y-intercept
2
1−
=
run
rise
b = 3
3
2
1
+
−
= xy
Jeff Bivin -- LZHS
2
1−
=m

7. Graphing Lines
Jeff Bivin -- LZHS

8. 2x + 3y = 5
x-intercept
2x + 3(0) = 5
2x + 0 = 5
2x = 5
2
5
=x
y-intercept
2(0) + 3y = 5
0 + 3y = 5
3y = 5
3
5
=y
( )3
5
,0
( )0,2
5
Jeff Bivin -- LZHS

9. 4x - y = 6
x-intercept
4x - (0) = 6
4x - 0 = 6
4x = 6
2
3
=x
y-intercept
4(0) - y = 6
0 - y = 6
-y = 6
6−=y
( )6,0 −
( )0,2
3
Jeff Bivin -- LZHS

10. 4x + 2y = 3
x-intercept
4x + 2(0) = 3
4x + 0 = 3
4x = 3
4
3
=x
y-intercept
4(0) + 2y = 3
0 + 2y = 3
2y = 3
2
3
=y
( )2
3
,0
( )0,2
5
Jeff Bivin -- LZHS

11. 3x - 2y = 7
x-intercept
3x - 2(0) = 7
3x - 0 = 7
3x = 7
3
7
=x
y-intercept
3(0) - 2y = 7
0 - 2y = 7
-2y = 7
2
7−
=y
( )2
7
,0 −
( )0,3
7
Jeff Bivin -- LZHS