Lines in the Plane Section 1.1. By the end of this lesson, I will be able to answer the following questions… 1. How do I find the slope and equation of.

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Presentation transcript:

Lines in the Plane Section 1.1

By the end of this lesson, I will be able to answer the following questions… 1. How do I find the slope and equation of a linear graph based on various information? 2.How do I use a graphing calculator to graph lines and determine their properties? 3. How do I apply linear properties to applications/problem solving?

Vocabulary Slope of a line Slope Intercept Form of a Line General Form of a Line Point Slope Form of a Line

Prerequisite Skills with Practice Solve for x.

Finding the slope of a line given two points. Find the slope of the line that goes through the points (-2,0) and (3,1) Find the slope of the line that goes through the points and (4,0) and

Generalizations about lines: 1. Positive slopes 2. Negative slopes 3. U Generalizations about lines: 1. Positive slopes 2. Negative slopes 3. Undefined slopes 4. Zero Slopes Equations of horizontal and vertical lines. Using point-slope form of a line. Find the equation of the line that passes through the point (1,-2) and has the slope of 3.

Using the slope-intercept form. Find the y-intercept and slope of the line given in general form Properties of parallel and perpendicular lines. Find the slope-intercept form of the equation of the line that passes through the point (-2,1) and is parallel to the line Find the slope-intercept form of the equation of the line that passes through the point (-2,1) and is perpendicular to the line

Application – using what we have learned to make predictions. During 2009, a brand new ComicCon “HAMSTERMAN” collectible sold for $ In 2014 the same collectible was sold again for $ Write a linear equation to model how much the collectible is worth with respect to years. Use that equation to make a prediction about how much the collectible will be worth in 2017.

Homework Assignment: Pg. 11: 1,2,3,6,(11-41) odd (45-50) all (53-65) all 72,73, all 87