1.4 Graphing Lines If real is what you can feel, smell, taste, and see, then “real” is simply electrical signals interpreted by the brain. -Morpheus.

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Presentation transcript:

1.4 Graphing Lines If real is what you can feel, smell, taste, and see, then “real” is simply electrical signals interpreted by the brain. -Morpheus

Slope of a Line x y

x y

Find the slope of the line shown below.

Vertical and Horizontal Lines Let’s take a look at the vertical line and horizontal line through the point (-3,1). Vertical Lines Slope Undefined Equation: Horizontal Lines Slope = 0 Equation:

Forms of a Line Slope-Intercept Form: Point-Slope Form: General Form: m = slope b = y-intercept m = slope (x 1,y 1 ) = point on line A,B are integers ≠ 0 and A > 0

Forms of a Line - Practice 1) Write the equation of the line in general form. 2) Write the equation of the line in slope- intercept form.

Finding Equations From Graphs Find the equation of the line. Write your answer in slope- intercept form.

Finding the Equation of a Line Find an equation for the line with the given properties. Express your answer in Slope-Intercept Form. 1) Slope = 2; containing the point (4,-3)

Finding the Equation of a Line Find an equation for the line with the given properties. Express your answer in General Form. 2) Containing the points (-3,4) and (2,5)

Finding the Equation of a Line Find an equation for the line with the given properties. 3) Slope undefined containing the point (3,8)

Parallel and Perpendicular Lines Parallel Lines have slopes that are equal. Perpendicular Lines have slopes that are opposite reciprocals.

Finding the Equation of a Line Find an equation for the line with the given properties. Express your answer in Slope-Intercept Form. 4) Parallel to the line 3x + y = 4 ; containing the point (-1,2)

Finding the Equation of a Line Find an equation for the line with the given properties. Express your answer in General Form. 5) Perpendicular to the line x - 2y = -5 ; containing the point (0,4)

Graphing Lines in General Form When equations are in general form, we can use the intercepts to help us graph without solving for y.

More Practice… before you get your homework, k? 1) Find the slope of the line containing the points (-2,-1) and (5,-6). 2) Find the slope and the y-intercept of the following lines. 3) Find the equation of the line below in slope-intercept form. a)b)

1.4 Graphing Lines If real is what you can feel, smell, taste, and see, then “real” is simply electrical signals interpreted by the brain. -Morpheus Homework #14: Graphing Worksheet