Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.
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Transcript of Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.
![Page 1: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/1.jpg)
Graphing Linear Equations
By: Christine Berg
Edited By: VTHamilton
![Page 2: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/2.jpg)
Linear Equation
An equation for which the graph is
a line
![Page 3: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/3.jpg)
SolutionAny ordered pair of
numbers that makes a linear equation true.
(9,0) IS ONE SOLUTION
FOR Y = X - 9
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Linear Equation
Example:
y = x + 3
![Page 5: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/5.jpg)
Graphing
Step 1: ~ Three Point Method ~
Choose 3 values for x
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GraphingStep 2:
Find solutions using tabley = x + 3Y | X 0 1 2
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Graphing
Step 3:
Graph the points from the table(0,3) (1,4) (2,5)
![Page 8: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/8.jpg)
Graphing
Step 4:
Draw a line to connect them
![Page 9: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/9.jpg)
Try These
• Graph using a table (3 point method)
1) y = x + 3
2) y = x - 4
![Page 10: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/10.jpg)
X-intercept
Where the line crosses the
x-axis
![Page 11: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/11.jpg)
X-intercept
The x-intercept has a y coordinate of
ZERO
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X-intercept
To find the x-intercept, plug in ZERO for y and
solve
![Page 13: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/13.jpg)
Slope
Describes the steepness of a
line
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Slope
Equal to:
Rise Run
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Rise
The change vertically, the change in y
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Run
The change horizontally or
the change in x
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Finding SlopeStep 1:
Find 2 points on a line
(2, 3) (5, 4)
(x1, y1) (x2, y2)
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Finding SlopeStep 2:
Find the RISE between these 2
points
Y2 - Y1 =
4 - 3 = 1
![Page 19: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/19.jpg)
Finding SlopeStep 3:
Find the RUN between these 2
points
X2 - X1 =
5 - 2 = 3
![Page 20: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/20.jpg)
Finding SlopeStep 4:
Write the RISE over RUN as a ratio
Y2 - Y1 = 1
X2 - X1 3
![Page 21: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/21.jpg)
Y-intercept
Where the line crosses the
y-axis
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Y-intercept
The y-intercept has an x-coordinate of
ZERO
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Y-intercept
To find the y-intercept, plug in ZERO for x and
solve
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Slope-Intercept
y = mx + bm = slope
b = y-intercept
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Step 1:
Mark a point on the y-intercept
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Step 2:
Define slope as a fraction...
![Page 27: Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.](https://reader035.fdocuments.in/reader035/viewer/2022062417/55159358550346a1418b5b6a/html5/thumbnails/27.jpg)
Step 3: Numerator is the vertical change
(RISE)
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Step 4:
Denominator is the horizontal
change
(RUN)
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Step 5:
Graph at least 3 points and
connect the dots