How do we graph linear equations Graphing Linear

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)4 x – 2 y = 6 b) x = 1 c) 3 y = -2 x + 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) 3 x < 4 – 2 y b) y ≥ -1 c) 5 x + 10 y > 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 3 x – 2 y > 6 and 3 x – 2 y = 6.