4.5: Graphing Equations of Lines Do Now Determine the slope from the graph below. Each unit is worth 1 point. From 0 minutes to 5 minutes From 5 minutes to 7 minutes From 7 minutes to 8 minutes 4.5: Graphing Equations of Lines 11/10/2018 3:16 PM

4.5: Graphing Equations of Lines Worksheet Key 4.5: Graphing Equations of Lines 11/10/2018 3:16 PM

4.5: Graphing Equations of Lines 11/10/2018 3:16 PM

Graphing Linear Functions Section 4.5 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Definitions Slope is a non-vertical line between two points Rise is the vertical movement Run is the horizontal movement 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Slope: Slope-Intercept form is y = mx + b where m is the slope (0, b) is the y-intercept 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Slope-Intercept Form Slope Y-intercept 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 1 Identify the slope and the y-intercept of the line with the given equation, y = 3x – 4. Slope Y-intercept 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 2 Identify the slope and the y-intercept of the line with the given equation, y = –5x + 3. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Your Turn Identify the slope and the y-intercept of the line with the given equation, y = –1/2x – 7/5. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 3 Identify the slope and the y-intercept of the line with the given equation, 3x + y = 2. Slope Y-intercept 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 4 Identify the slope and the y-intercept of the line with the given equation, 3x – 3y = 12 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 5 Identify the slope and the y-intercept of the line with the given equation, x + 4y = 6 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Your Turn Identify the slope and the y-intercept of the line with the given equation, 3x + y = 2 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

REMEMBER: THINK TO DRAW IT OUT! 4.5: Graphing Equations of Lines 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 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 6 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 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 6 If given point (0, 2) and the slope of 3, draw the graph What is the slope given? 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 6 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 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 6 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 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 6 If given point (0, 2) and the slope of 3, draw the graph Plot the point again 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 6 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 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 7 Graph the equation, y = –2x + 4. Then compare the graph to the parent function, y = x. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 8 Graph the equation, y = –3 + 1/3x. Then compare the graph to the parent function, y = x. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Your Turn If the graph has a rate of change of 3 and passes through the origin, draw the function and write the equation 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 9 If the graph has a slope of zero and passes through (–1, –5), draw the function and write the equation. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Example 10 If the graph has an undefined slope and passes through (–1, –5), draw the function and write the equation. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Your Turn If the graph has a zero slope and passes through (2, –3), draw the function and write the equation. 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines

4.5: Graphing Equations of Lines Assignment Worksheet 11/10/2018 3:16 PM 4.5: Graphing Equations of Lines