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Quick Graphs Using Intercepts

4.3. Quick Graphs Using Intercepts. Methods of graphing a line so far:. 1. Locate points and connect the dots-do they make a line?. 2. Horizontal and vertical lines y=b and x=a. 3. Make a table to find solutions, plot the solutions, connect the points. The Quick Way:.

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Quick Graphs Using Intercepts

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  1. 4.3 Quick Graphs Using Intercepts

  2. Methods of graphing a line so far: 1. Locate points and connect the dots-do they make a line? 2. Horizontal and vertical lines y=b and x=a 3. Make a table to find solutions, plot the solutions, connect the points.

  3. The Quick Way: Find where the line crosses the x and y axis and connect the two points.

  4. X-intercept:the x-intercept of a line is the value for x when y=0 So, set y=0 in the equation and solve for x. Ax+By=C Ax+B(0)=C Ax=C Ordered pair results, x value and y=0 (x,0)

  5. Y-intercept:the y-intercept of a line is the value for y when x=0 So, set x=0 in the equation and solve for y. Ax+By=C A(0)+By=C By=C Gives the y value,ordered pair (0,y)

  6. DO NOT PUT THE X VALUE AND Y VALUE TOGETHER AS AN ORDERED PAIR!!!! YOU HAVE TWO DIFFERENT POINTS TO PLOT!! Now, graph two points and connect a line between them.

  7. Find the x-intercept & y-intercept and graph 2x+3y=12 When y=0 When x=0 2x+3y=12 2x+3y=12 2(0)+3y=12 2x+3(0)=12 3y=12 2x=12 y=4 x=6 (6, 0) (0, 4)

  8. Graph 6 (0, 4) (6, 0) 5 4 3 2 1 -4 -3 -2 -1 1 2 3 4 5 6

  9. Find the x & y intercepts and graph -4x+6y=18 When y=0 When x=0 -4x+6y=18 -4x+6y=18 -4(0)+6y=18 -4x+6(0)=18 6y=18 -4x=18 y=3 x=-4 ½ (-4 ½ , 0) (0, 3)

  10. Graph 6 (0, 3) (-4 ½ , 0) 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 6

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