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## INVESTIGATION

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**INVESTIGATION**Change in parameters – m and b**INVESTIGATION**• In this investigation, we will see how changes to the slope (m) and y-intercept (b) of a linear relation affects the graph of the line.**CHANGES TO THE SLOPE (m) OF A LINE**1. Graph the following lines on the TI-84 Plus graphing calculator. y = x y = 2x y = 5x Describe what happens to the steepness of the lines asthe value of the slope increases…**CHANGES TO THE SLOPE (m) OF A LINE**2. Graph the following lines on the TI-84 Plus graphing calculator. y = x y = ½x y = ¼x Describe what happens to the steepness of the lines as the value of the slope decreases…**In general:**• As the value of the slope (m) increases, the line gets _________. • As the value of the slope (m) decreases, the line gets ________________________. steeper flatter - closer to the x axis**CHANGES TO THE Y-INTERCEPT (b) OF A LINE**1. Graph the following lines on the TI-84 Plus graphing calculator. y = x y = x + 1 y = x + 4 Describe what happens to the graphs of the lines asthe value of the y-intercept increases.**CHANGES TO THE Y-INTERCEPT (b) OF A LINE**2. Graph the following lines on the TI-84 Plus graphing calculator. y = x y = x – 1 y = x – 3 Describe what happens to the graphs of the lines as the value of the y-intercept decreases.**In general:**• As the value of the y-intercept (b) increases, the line moves _________. • As the value of the y-intercept (b) decreases, the line moves _________. up down