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1 § 2.2 Graphing Linear Equations in Two Variables 2 Determine whether an ordered pair is a solution of the equation. 5π¦ β 3π₯ = 1 Is this point a solution of the linear equation? 8,5 3 Determine whether an ordered pair is a solution of the equation. 5π¦ β 3π₯ = 1 Is this point a solution of the linear equation? 8,5 What about the point β3, β2 ? 4 Graphing Linear Equations by Plotting Points Given an equation, plug in numbers in for x and solve for the corresponding y value. Basically, do a βT-tableβ. Then write the numbers for x and y as an ordered pair and plot it. 5 Graphing Linear Equations by Plotting Points Given an equation, plug in numbers in for x and solve for the corresponding y value. Basically, do a βT-tableβ. Then write the numbers for x and y as an ordered pair and plot it. E.g.: π¦ = β3π₯ + 4 6 Graphing Linear Equations by Finding Intercepts ο§ The point where a graph intersects the x-axis is called the x-intercept. ο§ The point where a graph intersects the y-axis is called the y-intercept. 7 Graphing Linear Equations by Finding Intercepts ο§ The point where a graph intersects the x-axis is called the x-intercept. ο§ The point where a graph intersects the y-axis is called the y-intercept. ο§ To find the x-intercept, pick y = 0 and solve for x. ο§ To find the y-intercept, pick x = 0 and solve for y. 8 Example ο§ To find the x-intercept, pick y = 0 and solve for x. ο§ To find the y-intercept, pick x = 0 and solve for y. β3π₯ = 6π¦ + 15 9 When the Intercept Method βfails.β There are times when the Intercept Method will not work so well. It βfailsβ when (0,0) is a solution to the equation. E.g.: 7π¦ β 8π₯ = 0 13 π¦=β π₯ 7 10 Graphing Horizontal and Vertical Lines ο§ If an equation only has an x or y variable, then you have either a horizontal or a vertical line. 11 Graphing Horizontal and Vertical Lines ο§ If an equation only has an x or y variable, then you have either a horizontal or a vertical line. E.g.: x = 3 is a vertical line going through the point 3,0 . y = 5 is a horizontal line going through the point 0,5 . 12 Write each equation in y = b or x = a. Graph the equations. 1.) β4π¦ + 3 = β13 2.) β3π₯ β 5 = 4