Slope-intercept Form Worksheet Date Period - Free Printable

I will solve this worksheet by calculating the slope for each of the 10 problems. The slope is a measure of how steep a line is, calculated as "rise over run" or the change in y divided by the change in x between two points on the line.

I'll start with problem 1 and work through each one systematically.

Problem 1

First, I need to find two points on the line from the graph.
- Looking at the graph, I can see the line passes through (0, 2) and (2, -1).
- Rise = change in y = -1 - 2 = -3
- Run = change in x = 2 - 0 = 2
- Slope = rise/run = -3/2

Problem 2

Looking at the second graph:
- The line passes through (-2, -1) and (2, 1).
- Rise = 1 - (-1) = 2
- Run = 2 - (-2) = 4
- Slope = 2/4 = 1/2

Problem 3

For the third graph:
- The line is vertical, passing through x = -1.
- For a vertical line, the run (change in x) is 0.
- Slope = rise/0, which is undefined.

Problem 4

Looking at the fourth graph:
- The line passes through (0, 3) and (1, 0).
- Rise = 0 - 3 = -3
- Run = 1 - 0 = 1
- Slope = -3/1 = -3

Problem 5

For the fifth graph:
- The line is horizontal, passing through y = -2.
- For a horizontal line, the rise (change in y) is 0.
- Slope = 0/run = 0

Problem 6

Looking at the sixth graph:
- The line passes through (-2, 1) and (2, -1).
- Rise = -1 - 1 = -2
- Run = 2 - (-2) = 4
- Slope = -2/4 = -1/2

Problem 7

Now for the coordinate pairs: (-14, -20), (-5, 9)
- Rise = 9 - (-20) = 29
- Run = -5 - (-14) = 9
- Slope = 29/9

Problem 8

Coordinate pairs: (-1, 1), (5, -6)
- Rise = -6 - 1 = -7
- Run = 5 - (-1) = 6
- Slope = -7/6

Problem 9

Coordinate pairs: (15, 9), (-14, -9)
- Rise = -9 - 9 = -18
- Run = -14 - 15 = -29
- Slope = -18/-29 = 18/29

Problem 10

Coordinate pairs: (2, -12), (18, 15)
- Rise = 15 - (-12) = 27
- Run = 18 - 2 = 16
- Slope = 27/16

Let me summarize all the answers:

1) -3/2
2) 1/2
3) undefined
4) -3
5) 0
6) -1/2
7) 29/9
8) -7/6
9) 18/29
10) 27/16