Chapter 8 Graphing Linear Equations. §8.1 – Linear Equations in 2 Variables What is an linear equation? What is a solution? 3x = 9 What is an linear equation.

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Presentation transcript:

Chapter 8 Graphing Linear Equations

§8.1 – Linear Equations in 2 Variables What is an linear equation? What is a solution? 3x = 9 What is an linear equation in 2 variables? What is a solution? 2x + y = 10

§8.1 – Linear Equations in 2 Variables Linear equations in 2 variables – Ordered pairs – Complete ordered pair given one of the values Rectangular coordinate system structure – Axes and quadrants – Plotting points – Determining coordinates of plotted points

§8.2 – Graphing Linear Equations Algorithm on p Find 3 solutions 2.Plot corresponding points 3.Draw line thru points If not straight – find your error Ex: Graph 3x + 2y = 12 x and y intercepts

§8.2 – Graphing Linear Equations Horizontal lines y = a Vertical lines x = b Problem #42 p. 290 – Why only positive values?

§8.3 – The Slope of a Line What is slope? Slope formula: General concepts – Positive slope – Negative slope – 0 slope – Undefined slope

§8.3 – The Slope of a Line Slope – intercept form: General concepts – y isolated – m is the slope – b is the y–intercept

§8.3 – The Slope of a Line For each of the following lines, find the slope, the y–intercept, and graph the line

§8.3 – The Slope of a Line Parallel lines – What are they? – Same slope – Problems 8.3 #31, 32 (p. 297) – just parallel Perpendicular lines – What are they? – Slopes are negative reciprocals of each other – Problems 8.3 #31, 32 (p. 297) – just perpendicular

§8.4 – The Equation of a Line Slope – intercept form: – Find equation given m and b Problem 8.4 #22 (p. 301) Point – Slope form: – Find equation given point and slope Problem 8.4 #32 (p. 301) – Find equation given 2 points Problem 8.4 #52 (p. 301)