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## 8-3 & 8-4: Graphing Linear Functions

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**8-3 & 8-4: Graphing Linear Functions**Mr. Gallo**Graphing Linear Functions**• Linear Function: • The graph of this function is a____________ _______. • Graphs of the form y = mx line straight**Graphing Linear Functions**• Example 1: Given the point A (3, 6), find the equation of the line that passes through A and the origin. 3 What is the slope of the line? ______________________What could you multiply by 3 to get 6? _______________________The equation of the line is: y= x 6**Graphing Linear Functions**• Example 2-Given the point B (9, 3), find the equation of the line that passes through B and the origin. What is the slope of the line? ______________________ What could you multiply by 9 to get 3? ______________________ The equation of the line is: y = x 9 3**The Slope Intercept Form**• The equation of line in the slope-intercept form: • represents the _________. • represents the _______________. • y-intercept is where the line crosses the y-axis slope y -intercept**Example 3 - Graph the equation**What is the y-intercept? _______ What is the slope? ______ Example 4 - Graph the equation What is the y-intercept? ______ What is the slope? ______**How are the graphs alike?**________________________________________________________________________ They have the same slopes. Parallel lines How are they different? ____________________________________________________________________ They have different y –intercepts.**Example 5- Find the equation of the line with a y-intercept**of 1 and a slope 3. Equation: _____________**Example 6- Find the equation of the line passing through (0,**6) and with slope −4. Slope: _________. Substitute Point: Equation: _____________**Example 7: Find the equation for the line passing through**(3, −4) and (9, 0). Slope: _________. Substitute Point: Equation: _____________