This document discusses slope-intercept form for graphing lines. It defines slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. The document provides examples of graphing lines from their equations in slope-intercept form. It also shows how to convert between standard form and slope-intercept form.

1. Algebra 1
Lesson 7.7
Slope-Intercept Form

3. How would you... describe these dogs?

4. How would you... Describe these drinks?
Iced caramel macchiato
Mocha coconut frappuccino

5. How would you... Describe these cubes?
8
3
8
8
3
3

6. How would you... Describe these lines?
y
y
10
9
-1
2
1
-2
3
2
-3
4
3
-4
5
4
-5
6
5
-6
7
6
-7
8
7
-8
9
8
-10 -9
10
1
-1
1
2
3
4
5
6
7
8
9
10
x
-10 -9
-8
-7
-6
-5
-4
-3
-2
-1
-1
1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
-10
-10
2
3
4
5
6
7
8
9
10
x

7. Graphing
y
10
To describe a line,
we identify the
SLOPE and Y-INTERCEPT
9
8
7
6
5
4
3
2
1
-10 -9
-8
-7
-6
-5
-4
-3
-2
-1
-1
1
-2
-3
-4
-5
-6
-7
-8
-9
-10
2
3
4
5
6
7
8
9
10
x
Formula:
y = mx + b

8. slope
y-intercept
y = mx + b
1)
7x - 4
y=8
2)
y = 5x - 2
3)
2x
y=
8

9. slope
y-intercept
y = mx + b
Graph this line:
5x-2
y=
3

10. slope
y-intercept
y = mx + b
Graph this line:
2x + 3
y=5

11. #1
slope
y-intercept
y = mx + b
Graph this line:
1x-1
y=
4

12. #2
slope
y-intercept
y = mx + b
Graph this line:
y=-x+2

13. #3
slope
y-intercept
y = mx + b
Graph this line:
y=x+1

14. #4
slope
y-intercept
y = mx + b
Graph this line:
4x-4
y=
3

15. #6
slope
y-intercept
y = mx + b
Graph this line:
y=4

16. Transforming between standard and slope-intercept form
Standard Form
Ax + By = C
Simplified...
x+y=#
-2x + y = 4
vs. Slope-Intercept Form
y = mx + b
Simplified...
y=x+#

17. Standard Form
Ax + By = C
x+y=#
-6x + y = 4
Slope-Intercept Form
y = mx + c
y=x+#
y = -9x + 3
-10x + 5y = 15
b