15.+Graph+Lines+on+the+Coordinate+Plane

= = =Graphing Lines on the Coordinate Plane= = = =__Paragraph__Edit= On the coordinate plane there are 4 quadrants and 2 axis lines. The quadrants are numbered 1 through 4. The horizontal axis line is called the X axis and the vertical axis line is called the Y axis. All ordered pairs start at the middle point where the X and Y axis meet called the origin. If you had an ordered pair like (3,5) you would move the point 3 to the left and 5 up. To make a line you would just have to connect the points on the coordinate plane. = = = = =__Pictures__=



=__Examples__= EXAMPLE #1 in Standard form- BKIST  3x-2y=6, With standard form it is usually easiest to find the x and y intercepts, so for the first problem let x=0, so -2y=-6 and y=3. For the second problem, let y=0,

so 3x=-6, and x=-2. Plot these 2 points on the x and y axis and draw the line that goes through the two points. x=-2, and y=3 -BKIST EXAMPLE #2- Make a line with Y=-4x+2- MPANSINI

This method is called slope intercept form. The original version of this is Y=mx+b. M stands for the slope of the line and B stands for the Y intercept. In this problem the slope is -4 so you go down 4 from the Y intercept and 1 to the right. The Y intercept is 2 so you go up 2 from the origin.

Plot Y=2

If Y equals any number then you plot that number on the Y axis and make a horizontal line.




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http://www.math.com/school/subject2/lessons/S2U4L1GL.html http://www.learningwave.com/lwonline/algebra_section2/alg_coord.html http://library.thinkquest.org/20991/prealg/graph.html#linegraphs - BKIST || 