Slopes and Equations of Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 2.

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Presentation transcript:

Slopes and Equations of Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 2

**Slope can also be called a rate of change. Slope Point 1: and Point 2:

Find the slope of each line., if A(-3, 7) and B(-1, -1)

Find the slope of each line.

Horizontal Line (flat) m = 0 Vertical Line (up and down) m = undefined Special Cases

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 different signs flip the fraction Perpendicular lines have slopes that are negative reciprocals. Parallel lines have exactly the same slope. same sign same numbers in the same places

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).

Write an equation in slope-intercept form of the line with slope of -6 and y-intercept of (0, -2). Equations of Lines Slope-Intercept Form y = mx + b m: slopeb: y-intercept

Point-slope Form Write an equation in point-slope form of the line whose slope is that contains (-10, 8). Equations of Lines m: slope

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.