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Learning Targets-2851152032000I can identify linear equations, intercepts, and zeros.I can create a table of values by plugging in x-values to the equation to find the corresponding y-values.I can convert an equation into slope-intercept form. I can graph linear equations using a table. -972894791What is a Linear Equation?An equation that forms a line when it is graphed.Two Common Linear Equation FormsStandard FormAx + By = CSlope Intercept Formy = mx + b[Example] Choose all Linear Equations.A. 3x +5y = 10B. y = 2x-1 C. x2 + 2x – 3 = 0D. y = x3 E. 6x – xy = 4F. y= 23xG. y= 5xH. y = 3I. x = 5 J. y = xHow to graph a Linear Equation?Standard FormSlope Intercept FormPlug in x = 0 to find the y-interceptPlug in y = 0 to find the x-interceptConnect x-intercept and y-intercept1. Solve for y (meaning isolate y)2. Complete the table or do a quick drawQuick draw: plot a y –intercept then follow the slope00What is a Linear Equation?An equation that forms a line when it is graphed.Two Common Linear Equation FormsStandard FormAx + By = CSlope Intercept Formy = mx + b[Example] Choose all Linear Equations.A. 3x +5y = 10B. y = 2x-1 C. x2 + 2x – 3 = 0D. y = x3 E. 6x – xy = 4F. y= 23xG. y= 5xH. y = 3I. x = 5 J. y = xHow to graph a Linear Equation?Standard FormSlope Intercept FormPlug in x = 0 to find the y-interceptPlug in y = 0 to find the x-interceptConnect x-intercept and y-intercept1. Solve for y (meaning isolate y)2. Complete the table or do a quick drawQuick draw: plot a y –intercept then follow the slope[Example] Graph 2x + 4y = 16 Standard FormSlope Intercept Form1. Plug in x = 0 to find the y-intercept1. Solve for y (meaning isolate y)2. Plug in y = 0 to find the x-intercept2. Complete the table or do a quick draw3. Connect x-intercept and y-interceptxy-4-20244046855156072266700154802center0How Does a Table Work?Starting Equation:y+3=2xStep 1: Get y by itself.y+3=2x -3 -3y=2x-3Step 2: Plug in values for x to find y.xyWork Shown-2-7y=2-2-3 y=-4-3 y=-7-1-5y=2-1-3 y=-2-3 y=-50-3y=20-3 y=0-3 y=-300How Does a Table Work?Starting Equation:y+3=2xStep 1: Get y by itself.y+3=2x -3 -3y=2x-3Step 2: Plug in values for x to find y.xyWork Shown-2-7y=2-2-3 y=-4-3 y=-7-1-5y=2-1-3 y=-2-3 y=-50-3y=20-3 y=0-3 y=-3396303568580Step 3: Plot Points from Table on Graph400000Step 3: Plot Points from Table on Graph408622515176524765020510500514794563690500526732542291000503809086169500547243078486000Write each linear equation in slope-intercept form (get y by itself). Why is it important to get y by itself? _________________________________________________________a) 23x+y=7b) -9x=18+6yc)5y=3x+25d)-12x+23y-8=0Examples: Complete the table for each function, then graph412586990805a) y=-3x+8xyb) y-6=-3(x+2)412559560622xyc) 83x-43y=-44125473118745xy4402404-74141Graphing Vertical and Horizontal LinesLet’s memorize: HOY VUXGraph ExampleSlopeEquationHorizontal Linem = Vertical Linem = Graph each equation on the provided coordinate plane.a)y=6b)y=-1c)x=329337007366054006752349529527571120d)x=-2e)y+5=0f)x-3=-129337007366054006752349529527571120Applicationa) Determine which ordered pair in the table does not belong to the equation. y=-4x+3x-2-1012y1183-1-5b) Determine which ordered pair in the table does not belong to the graph.387667516510x-8-4048y02768c)Prove that (-4, -7) is a solution to the equation y=12x-5i) Prove graphically ii) Prove algebraically 45720076200Extra PracticeTextbook p. 158 # 43 – 48 ................
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