Chapter 6 Section 2 Graphing Linear Equations and Inequalities in Two Variables Using Alterative Methods.

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Presentation transcript:

Chapter 6 Section 2 Graphing Linear Equations and Inequalities in Two Variables Using Alterative Methods

Essential Question What is the best way to graph a linear equation and inequality in two variables?

Intercepts X-intercept: let y = 0 and solve for x (x, 0) Y-intercept: let x = 0 and solve for y OR look for the constant (0, y) Example: 3x – y = 5 Example: x + 2y = 8 Example: 3x + 4y = -12

Slope Usually uses “m” as variable Vertical change/horizontal change Rise/run (y2 - y1)/(x2 – x1)

Examples: Find the slope

Practice Graphing Using Intercepts 2x + 3y = 6 3x – y = 5 x + 7y = 0

Slope Intercept Form Y = mx +b M = slope B = y-intercept Practice: Y = -2x + 4 5x – y = -2 2x + y = 4