Slope: Define slope: Slope is positive.Slope is negative. No slope. Zero slope. Slopes of parallel lines are the same (=). Slopes of perpendicular lines.

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Presentation transcript:

Slope: Define slope: Slope is positive.Slope is negative. No slope. Zero slope. Slopes of parallel lines are the same (=). Slopes of perpendicular lines are negative reciprocals.

1.Horizontal Line: y = c 2.Vertical Line: x = c 3.Slope-Intercept Form: y = mx + b Equations of Lines: x = 3 y = 5 y = x - 3

Ex: Given A(-3, 6) and B(5, 1): Find AB. Find the slope of segment AB. Find the midpoint of segment AB.

Ex: If B(3, 1) is the midpoint of segment AC where A(-1, 5), what is the ordered pair for point C?

Ex: If 3 consecutive vertices of a parallelogram are A(4, 2), B(6, -3), and C(-1, 0), find the fourth vertex.

Ex: Given A(-1, -3), B(6, 1), and C(2, -5): Show triangle ABC is a right triangle. Find the area of triangle ABC.

Write equations of lines given appropriate information: Ex: Contains P(5, -7) and is parallel to 6x + 3y = 4. Ex: Contains P(5, -7) and is perpendicular to 6x + 3y = 4.

Ex: Find the perpendicular bisector of the segment with endpoints A(-3, 1) and B(5, 4).

Try This: 1. Find the equation of the perpendicular bisector of segment AB if A(-3, 2) and B(5, -4).

Answers: