Geometry Agenda 1. ENTRANCE 2. Go over Practice Continued

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Presentation transcript:

Geometry Agenda 1. ENTRANCE 2. Go over Practice 3. 3-5 Continued 5. EXIT

Practice

Chapter 3 3-5 Continued

Slope The steepness of a line

Types of Slope Positive Negative Zero No

Equations of Lines A line is a set of points. Every line has an equation that relates the coordinates of these points. ex: 2x - 3y = 14 (1, -4) (4, -2) (2.5, -3) (-2, -6) (-0.5, -5) (7, 0)

Forms of a Line These are each different forms of the same equation. 2x - 3y = 14 Standard form y = Slope-Intercept form y + 4 = (x -1) Point-Slope form

Standard Form This equation is of the form Ax + By = C. The x and y terms are on the left side and the constant is on the right side of the equation. 2x - 3y = 14

Slope-Intercept Form This equation is of the form y = mx + b. The y term is on the left and the x term is on the right side of the equation. The value of m is the slope of the equation. The value of b is the y-intercept. y =

Point-Slope Form This equation is of the form y – y1 = m(x – x1). The y term is on the left and the x term is on the right side of the equation. The value of m is the slope of the equation. The values x1 and y1 are the coordinates of a point on the line. y + 4 = (x – 1) m = (1, -4)

Example #1 Graph.

Example #2 Graph.

Example #3 Graph.

Example #4 Find the equation of a line with slope -3 that contains the point (-1, 4).

Example #5 Find the equation of a line that contains the points (6, 3) and (-4, 5).

Example #6 Find the equation of a horizontal line through the point (-3, 1).

Example #7 Find the equation of a vertical line through the point (1, -2).

Example #8 A truck ramp is being redesigned for a local moving company. What is the equation of the line that represents the ramp?

Example #9 The equation P = $300m + $2000 represents the total payment (P) after m number of months for purchasing a car from the local dealership. What is the slope of the line represented by this equation? What does the slope represent in this situation? What is the y-intercept of the line? What does the y-intercept represent in this situation?

Practice WB 3-5 # 4, 8, 13, 14, 21, 27, 28, 36, 45, 46 EXIT