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Using Using Winplot to Solve Linear Systems

Using Using Winplot to Solve Linear Systems. SLE-L4 Objectives: Solve systems of equations using WinPlot. Learning Outcome B-1. Winplot will be demo ’ ed for you in class. Take note of the following: 2-dim means 2-variable equations How to enter an equation into y=f(x)

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Using Using Winplot to Solve Linear Systems

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  1. Using Using Winplot to Solve Linear Systems SLE-L4 Objectives:Solve systems of equationsusing WinPlot Learning Outcome B-1

  2. Winplot will be demo’ed for you in class. • Take note of the following: • 2-dim means 2-variable equations • How to enter an equation into y=f(x) • How to edit an equation (inventory palette) • Modifying your grid’s appearance (axes, ticks, etc.) • Modifying your window location and scope • Displaying an equation on the graph (equa on inventory palette) Winplot Demo 1

  3. y = mx + b, slope-intercept formRemember that for a line written in the form y = mx + b, • m represents the slope, and • b represents the y-intercept • The x-intercepts are called zeroes, or roots, or solutions to single equations. Solutions to systems of equations are the point(s) where the two lines intersect. Theory – Slope y-intercept form

  4. Winplot will be demo’ed for you in class. • Take note of the following: • How to use trace • How to find zeroes • How to find the y-intercept • How to generate a Table of Values (horizontal extremes determine start and end values in steps) • Solve the equation 3x - 6 = 0 using WinPlot. • Use WinPlot to find the zero of the equation -7.5x + 30 = 0. Theory – Substitution Method

  5. When a pair of linear equations is used together, the pair is called a linear system. Each equation produces a straight line when it is graphed. The lines may or may not intersect. Solving the system of linear equations means finding the point of intersection of the lines. The point is written asan ordered pair (x, y). Theory – Systems

  6. Imagine two straight lines on a coordinate plane. In how many ways can they meet? They can cross and meet at one point.One solutionConsistent or Independent system They can never meet if the lines are parallel.No solutionInconsistent system They can meet an infinite number of times, if they are the same line.Infinite number of solutionsDependent System Theory – Solution Options

  7. Solve the following systems of equations using the Intersection dialogue box. y = x + 42y = x + 3 y = 2.5x - 3y = 2.5x + 2 2y = 6x + 4y = 3x + 2 2y + x = 103y + 2x = 14 Theory – Substitution Method

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