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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.

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## Graphing Linear Equations

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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) (x1, y1) (x2, y2)**Finding Slope**Step 2: Find the RISE between these 2 points Y2 - Y1 = 4 - 3 = 1**Finding Slope**Step 3: Find the RUN between these 2 points X2 - X1 = 5 - 2 = 3**Finding Slope**Step 4: Write the RISE over RUN as a ratio Y2 - Y1= 1 X2 - X1 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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