Graphing Linear Functions

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Presentation transcript:

Graphing Linear Functions Section 2.3 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

REMEMBER: THINK TO DRAW IT OUT! 2.3: Graphing Linear Functions Steps Establish the slope of the equation Identify any points and or y-intercept and plot the points Apply the slope Continue the process until at least three points are given Draw your ARROWED line REMEMBER: THINK TO DRAW IT OUT! 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 1 If given point (0, 2) and the slope of 3, draw the graph What is the point given? (0, 2) 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 1 If given point (0, 2) and the slope of 3, draw the graph What is the slope given? 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 1 If given point (0, 2) and the slope of 3, draw the graph What is the rise? R I S E 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 1 If given point (0, 2) and the slope of 3, draw the graph What is the run? R U N 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 1 If given point (0, 2) and the slope of 3, draw the graph Plot the point again 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 1 If given point (0, 2) and the slope of 3, draw the graph Draw the arrowed line What’s the equation? y = 3x + 2 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 2 Graph the equation, y = –2x + 4. Then compare the graph to the parent function, y = x. 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Your Turn If the graph has a rate of change of 3 and passes through the origin, draw the graph and write the equation 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 3 If the graph has a slope of zero and passes through (–1, –5), draw the graph and write the equation. 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Your Turn If the graph has an undefined slope and passes through (–1, –5), draw the graph and write the equation. 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Finding Intercepts Linear Standard Equation is Ax + By = C X-Intercept (Ax = C) value of x when y = 0 Y-Intercept (By = C) value of y when x = 0 Determine the x-intercepts and put it in coordinate form by covering up the y’s Determine the y-intercepts and put it in coordinate form by covering up the x’s Make sure to label your answers as POINTS and not equations 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 4 Given 3x + 4y = 12, find x- and y-intercepts What’s leftover? What’s leftover? 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Example 5 Given 6x − 2y = 12, find x- and y-intercept 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Your Turn Given y = 4x + 10, find x- and y-intercept 11/10/2018 3:16 PM 2.3: Graphing Linear Functions

2.3: Graphing Linear Functions Assignment Pg 93: 3-23 EOO, 24-30 all, 45-57 EOO 11/10/2018 3:16 PM 2.3: Graphing Linear Functions