How do we graph linear equations?

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Objective - To graph linear equations using the slope and y-intercept.
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Presentation transcript:

How do we graph linear equations? Graphing Linear Equations: First, make sure you solve for slope-intercept form (if necessary), y = mx + b Plot your y – intercept (b), then plot three more points using the slope If you have an equation y = ??? (no x contained in the equation), this is a special line. It is horizontal and has ZERO slope. If you have an equation x = ??? (no y contained in the equation), this is a special line. It is vertical and has NO slope

How do we graph linear equations? a)4x – 2y = 6 b) x = 1 c) 3y = -2x + 6 d) Y = 6

Part 2: How do we graph linear inequalities? First, make sure you solve for slope-intercept form (if necessary). *Remember that the inequality sign changes direction if you multiply or divide by a negative number!* Follow same steps for graphing the line as above. Before you “connect the dots” make sure you determine the following: If the inequality is > or <, the line is DOTTED If the inequality is ≥ or ≤, the line is SOLID If the inequality is < or ≤, the line is shaded BELOW If the inequality is > or ≥, the line is shaded ABOVE

Part 2: How do we graph linear inequalities? a) 3x < 4 – 2y b) y ≥ -1 c) 5x + 10y > 20 d) X < 5

Summary: Answer in complete sentences. What does a solid line in the graph of an inequality mean? What does a dash line in the graph of an inequality mean? Graph and compare the difference in graphing 3x – 2y > 6 and 3x – 2y = 6.