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Linear Equation. An equation for which the graph is a line. Solution. Any ordered pair of numbers that makes a linear equation true.(9,0) IS ONE SOLUTIONFOR Y = X - 9. Linear Equation. Example:y = x 3. Graphing. Step 1: ~ Three Point Method ~Choose 3 values for x. Graphing. Step 2:Find solut
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1. Graphing Linear Equations
2. Linear Equation An equation for which the graph is a line
3. Solution Any ordered pair of numbers that makes a linear equation true.
(9,0) IS ONE SOLUTION
FOR Y = X - 9
4. Linear Equation Example:
y = x + 3
5. Graphing Step 1:
~ Three Point Method ~
Choose 3 values for x
6. Graphing Step 2:
Find solutions using table
7. Graphing Step 3:
Graph the points from the table
(0,3) (1,4) (2,5)
8. Graphing Step 4:
Draw a line to connect them
9. Try These Graph using a table (3 point method)
1) y = x + 3
2) y = x - 4
10. X-intercept Where the line crosses the x-axis
11. X-intercept The x-intercept has a y coordinate of ZERO
12. X-intercept To find the x-intercept, plug in ZERO for y and solve
13. Slope Describes the steepness of a line
14. Slope Equal to:
Rise
Run
15. Rise The change vertically, the change in y
16. Run The change horizontally or the change in x
17. Finding Slope Step 1:
Find 2 points on a line
(2, 3) (5, 4)
(x1, y1) (x2, y2)
18. Finding Slope Step 2:
Find the RISE between these 2 points
Y2 - Y1 =
4 - 3 = 1
19. Finding Slope Step 3:
Find the RUN between these 2 points
X2 - X1 =
5 - 2 = 3
20. Finding Slope Step 4:
Write the RISE over RUN as a ratio
Y2 - Y1 = 1
X2 - X1 3
21. Y-intercept Where the line crosses the y-axis
22. Y-intercept The y-intercept has an x-coordinate of ZERO
23. Y-intercept To find the y-intercept, plug in ZERO for x and solve
24. Slope-Intercept y = mx + b
m = slope
b = y-intercept
25. Step 1: Mark a point on the y-intercept
26. Step 2: Define slope as a fraction...
27. Step 3: Numerator is the vertical change (RISE)
28. Step 4: Denominator is the horizontal change
(RUN)
29. Step 5: Graph at least 3 points and connect the dots