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Graphing Linear Equations By: Christine Berg Edited By: VTHamilton
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 SOLUTION FOR Y = X - 9
Linear Equation Example: y = x + 3
Graphing Step 1: ~ Three Point Method ~ Choose 3 values for x
Graphing Step 2: Find solutions using table y = x + 3 Y | X 0 1 2
Graphing Step 3: Graph the points from the table (0,3) (1,4) (2,5)
Graphing Step 4: Draw a line to connect them
Try These Graph using a table (3 point method) 1) y = x + 3 2) y = x - 4
X-intercept Where the line crosses the x-axis
X-intercept The x-intercept has a y coordinate of ZERO
X-intercept To find the x- intercept, plug in ZERO for y and solve
Slope Describes the steepness of a line
Slope Equal to: Rise Run
Rise The change vertically, the change in y
Run The change horizontally or the change in x
Finding Slope Step 1: Find 2 points on a line (2, 3) (5, 4) (x 1, y 1 ) (x 2, y 2 )
Finding Slope Step 2: Find the RISE between these 2 points Y 2 - Y 1 = = 1
Finding Slope Step 3: Find the RUN between these 2 points X 2 - X 1 = = 3
Finding Slope Step 4: Write the RISE over RUN as a ratio Y 2 - Y 1 = 1 X 2 - X 1 3
Y-intercept Where the line crosses the y-axis
Y-intercept The y-intercept has an x-coordinate of ZERO
Y-intercept To find the y- intercept, plug in ZERO for x and solve
Slope-Intercept y = mx + b m = slope b = y-intercept
Step 1: Mark a point on the y-intercept
Step 2: Define slope as a fraction...
Step 3: Numerator is the vertical change (RISE)
Step 4: Denominator is the horizontal change (RUN)
Step 5: Graph at least 3 points and connect the dots
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