Chapter 1 Graphs.

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Presentation transcript:

Chapter 1 Graphs

Section 4 Lines

Calculate and Interpret Slope

Example 1: Finding and Interpreting the Slope of a Line Containing Two Points Find the slope of the line that contains the following points: a) (1, 2) and (5, -3) b) (-3, 4) and (7, 6)

Example 2: Graphing a Line Given a Point and a Slope Draw a graph of the line that contains the point (3, 2) and has a slope of: a) ¾ b) -4/5

Equations of Vertical Lines Example 3: Graphing a Line Graph the equation x = 3 **Note: vertical lines will ALWAYS have equations of the following form:

Example 4: Using the Point-Slope Form Write the equation of a line with slope 4 and containing the point (1,2) in point-slope form.

Example 5: Finding the Equation of a Horizontal Line Find an equation of the horizontal line containing the point (3, 2). **Note: horizontal lines will ALWAYS have equations of the following form:

Example 6: Finding an Equation of a Line Given Two Points Find an equation of the line containing the points (2, 3) and (-4, 5).

Example 7: Finding the Slope and Y-Intercept Find the slope m and y-intercept b of the equation 2x + 4y = 8 then graph.

Example 8: Graphing a Linear Equation Using Its Intercepts Graph the linear equation 2x + 4y = 8 by finding its intercepts.

Parallel Lines Criterion for Parallel Lines: 1) 2)

Example 9: Showing Two Lines are Parallel Show that 2x + 3y = 6 and 4x + 6y = 0 are parallel.

Example 10: Finding a Line that is Parallel to a Given Line Find an equation for the line that contains the point (2, -3) and is parallel to the line 2x + y = 6.

Perpendicular Lines Criterion for Perpendicular Lines 1) Perpendicular Lines Criterion for Perpendicular Lines 1) *Note: If two nonvertical lines are perpendicular, then the product of their slopes is

Example 11: Finding the Slope of a Line Perpendicular to Another Line Find the slopes that would form a line perpendicular to the given slope. a) 3 b) 1/3 c) -2/5 d) -7/4

Example 12: Finding the Equation of a Line Perpendicular to a Given Line Find an equation of the line that contains the point (1, -2) and is perpendicular to the line x + 3y = 6.

EXIT SLIP