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MYP 9 Mathematics Name: ____________________________ Investigate: A. Consider two lines: L1: y = 3x – 4 and L2: y = 3x + 5 State the slope and y-intercept of each line. …………………………………………….. …………………………………………….. Open Geogebra and graph the lines on the same set of axes. Describe what you notice about the lines. …………………………………………….. …………………………………………….. 1 1 Try another: L3: y = − 5x + 2 and L4: y = − 5x + 8 State the slope and y-intercept of each line. …………………………………………….. …………………………………………….. Are your observations about the previous lines still valid? Rewrite your statement, if necessary. …………………………………………….. …………………………………………….. Write a general statement about lines with the same slope. ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… Exercise: State 3 lines which are parallel to: 1. y = 4x + 2 2. y = 2x + 2 3. y = x – 2 4. y = −3x + 5 Write the equation of the line parallel to y = 3x + 2 and passes through the point (0, 1). MYP 9 Mathematics Name: ____________________________ B. Using Geogebra, graph these two lines on the same set of axes: 1 L1: y = 3x + 5 and L2: y = − 3x + 1 State the slope of each line. …………………………………………….. Find the angle between the lines: ……………………………… Describe what you notice about the lines and their slopes. …………………………………………….. …………………………………………….. Try another: Graph these lines on the same set of axes. 2 3 L3: y = − 3x – 3 and L4: y = 2x – 8 State the slope of each line. …………………………………………….. Find the angle between the lines: ……………………………… Are your observations about the previous lines still valid? Rewrite your statement, if necessary. …………………………………………….. …………………………………………….. Write a general statement about perpendicular lines and their slopes. ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… Exercise: State 3 lines which are perpendicular to: 1. y = 4x + 2 2. y = x + 2 3. y = –2x – 2 4. y = − 2x + 5 1 Write the equation of the line which is perpendicular to y = 3x + 2 and passes through the point (0, 2).