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3.1 Graphing Linear Equations. STANDARD form:. Ex 1 : Determine whether the equation is linear. a) b). Graphing w/ Intercepts. x-intercept : The point where the line intersects the X-axis. (x, 0) To Find: Let y = 0 & Solve for x
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Graphing w/ Intercepts • x-intercept: The point where the line intersects the X-axis. (x, 0) To Find: Let y = 0 & Solve for x • y-intercept: The point where the line intersects the Y-axis. (0, y) To Find: Let x = 0 & Solve for y
Ex 2: Write in Standard Form then graph each equation using x & y intercepts. a) b)
Using a Table of Values: • Solve equation for y • Make a Table (T-chart) • Choose 3 values for x (–1, 0, 1) • Plot points • Draw Line (w/ ARROWS!)
Ex 4: The percent of teens who play online games can be modeled by the equation where p is percent and t is time in years since 2000. Make a table of values to graph the equation.
HW – 3.1 pg. 157 # 13 – 19 odds,20, 23 – 33 odds, 35, 42, 49
Horizontal Lines: • slope = m = 0 • y-intercept (0, b) • Vertical Lines: • slope = m is undefined • No y-intercept
SLOPE-INTERCEPT form: SLOPE = Y-INTERCEPT (0, b)
Find equation given a graph: • Steps: • Identify y-int (0, b) • Pick any 2 points & count rise/run = m • y = mx + b