 # Advanced Geometry Parallel and Perpendicular Lines Lesson 2

• Slides: 16 Advanced Geometry Parallel and Perpendicular Lines Lesson 2 Slopes and Equations of Lines Slope Point 1: and Point 2: **Slope can also be called a rate of change. Find the slope of each line. , if A(-3, 7) and B(-1, -1) Find the slope of each line. Special Cases Horizontal Line (flat) m=0 Vertical Line (up and down) m = undefined For one manufacturer of camping equipment, between 1995 and 2005 annual sales increased by \$7. 4 million per year. In 2005, the total sales were \$85. 9 million. If sales increase at the same rate, what will be the total sales in 2015? Parallel and Perpendicular Slopes Parallel lines have exactly the same slope. Perpendicular lines have slopes that are negative reciprocals. • same sign • same numbers in the same places • different signs • flip the fraction Determine whether and are parallel, perpendicular, or neither. F(-2, -5), G(4, 7), H(0, 2), J(8, -2) Determine whether and are parallel, perpendicular, or neither. F(4, 2), G(6, -3), H(-1, 5), J(-3, 10) Determine whether and are parallel, perpendicular, or neither. F(1, -3), G(-2, -1), H(5, 0), J(6, 3) Graph the line that contains Q(5, 1) and is parallel to with M(-2, 4) and N(2, 1). Graph the line that contains A(0, 1) and is perpendicular to with X(-6, -2) and Y(0, -6). Equations of Lines Slope-Intercept Form y = mx + b m: slope b: y-intercept Write an equation in slope-intercept form of the line with slope of -6 and y-intercept of (0, - Equations of Lines Point-slope Form m: slope Write an equation in point-slope form of the line whose slope is that contains (-10, 8). Write an equation in slope-intercept form for a line containing (4, 9) and (-2, 0). Write an equation in slope-intercept form for a line containing (1, 7) that is perpendicular to the line y =x + 1.