Kinds of Line Graph

Introduction for kinds of line graph:

                         In this article we will discuss about the kinds of line graph. Let consider the equation of line. Equation of straight line is y = mx + c. Graph is defined as an abstract representation of a set of things where some pairs of the objects are related by links. Graph means an open source application used to draw math graphs in coordinate systems. Let us learn about the kinds of line graph example problems.

Example Problems for Kinds of Line Graph:

Example problem 1:

          Solve for y, the given equation is 5x + 5y = 10

Solution:

       The given equation is 5x + 5y =10

       Subtract 5x on both sides, we get

          5x - 5x + 5y = 10 - 5x

          After simplify this, we get

                   0 + 5y = -5x +10

                         5y = -5x + 10

                  Divided by 5 on both sides, we get

                            `(5y)/5 = (-5x)/(5) + 10/5`

                              y = `(-5/5)x` + 2

                   The above equation graph is given below.

                                y = -x + 2

Line graph

         From the graph,

                     x =  2and y = 2. The coordinate is (2, 2)

Example problem 2:

             Solve for y, the given equation is 3x - 2y = 2

Solution:

       The given equation is 3x - 2y = 2

       Subtract 3x on both sides, we get

          3x - 3x - 2y = 2 - 3x

          After simplify this, we get

                   0 - 2y = -3x + 2

                       -2y = -3x + 2

                  Divided by -2 on both sides, we get

                   `(-2y)/-2 = (-3x)/(2) + 2/-2`

               After simplify this, we get   

                          y = `(-3/2)x` `-` 1

                   The above equation graph is given below.

Line graph

            From the graph,

                     x = -0.66 and y = -1. The coordinate is (-0.66, -1)

 

More Example Problems for Kinds of Line Graph:

Example problem 3:

             Solve for y, the given equation is 8x + 4y = 4

Solution:

       The given equation is 8x + 4y = 4

       Subtract 8x on both sides, we get

          8x - 8x + 4y = 4 - 8x

             After simplify this, we get

                   0 + 4y = -8x + 4

                         4y = -8x + 4

                  Divided by 4 on both sides, we get

                            `(4y)/4 = (-8x)/(4) + 4/4`

            After simplify this, we get         

                             y = -2x +  1

            The above equation graph is given below.

Line graph

            From the graph,

                     x = 0.5 and y = 1. The coordinate is (0.5, 1)

              The above example problems are helpful to study of kinds of line graph.