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graphing linear equations graphing linear equations is one of the most important concepts of algebra and proper understanding is necessary to be good with it get help from an algebra tutor online and learn about graphing linear equations understand all the basic and advance concepts of equations and achieve quality help here below is an example of graphing linear equations with one variable for a better understanding example ax b 0 is a linear equation in one variable to represent a graph of linear equation in one variable consider the equation 2x 4 0 2x 4 x 2 since this equation is independent of y for all values of y x 2 hence x 2 is a line parallel to the yaxis at x 2 before learning on how to graph linear equations in one variable x 2 let us understand the basics on how to graph linear learn more about graphing linear equations

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p. 2

how to graph linear equations how to graph linear equations of y mx c step1 choose the convenient values of x and find the corresponding values of y step 2 prepare a table for different pairs of values of x and y step 3 draw the axes on a graph paper and chose a suitable sale step 4 plot the ordered pairs fro the above table on the graph paper step 5 join these points by a straight line this straight line is the graph of y mx c remark in the equation y mx c we say that i m is the slope of the line ii c is the y=intercept of the line example how to graph linear equations of the line y 2x 3 write down its i yintercept ii slope read more on how to graph linear equations

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p. 3

solution given the two points are x1 y1 5 2 and x2 y2 4 6 solve the slope the slope formula is m y2 y1 x2 x1 m 6 2 4 5 m 6+2/1 m 8/1 m 8 the slope is 8 line equation formula is y y1 m x x1 the point is x1 y1 5 2 y 2 8x ­ 5 y 2 8x 40 add 40 y to both sides y 2 40 y 8x 40 40 ­ y 38 8x y multiply 1 to both sides 8x y 38 the standard form of line equation is 8x y 38 .

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p. 4

solution we have x 1 y 2 × 1 3 5 x ­2 y {2 × ­2 3 ­ 1 thus we have the following table x 1 ­ 2 y 5 ­ 1 plot the points a1 5 and b­2 ­1 on a graph paper join ab and produce it then ab is the required graph of the line y 2x 3 clearly i yintercept 3 ii slope 2

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p. 5

graphing linear equations with one variable consider the equation y 5 0 y 5 0 y 5 since this equation is independent of x for all values of x y 5 hence the graph of y 5 is a line parallel to the xaxis at y 5 graphing linear equations with two variables question plot the graph of 4x+y=4 suggested answer :

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p. 6

put y 4 x=2 put y 8 x=1 put y 8 x=3

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students can also learn about the drawing graphs for linear equations with 2 variables and compare these examples with them to understand the differences between them better.

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p. 8

thank you tutorvista.com

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