graph the equation -2x+5y=10

Question

we have to graph these equations so yeah

Answer 1

Hi Hollie, the simple way to graph an equation of a line is to create a table of x- and y-values starting with the x- and y-intercept points.

 

For the equation: -2x + 5y = 10,

 

Set x = 0 and find the y-intercept point.

 

-2 * 0 + 5y = 10

 

5y = 10

 

y = 2

 

One point on the line is: (0, 2), the y-intercept point

 

Set y = 0 and find the x-intercept point.

 

-2x + 5 * 0 = 10

 

-2x = 10

 

x = -5

 

A second point on the line is: (-5, 0), the x-intercept point

 

You can now graph the line using these two points.

 

The table would be:

 

x-values      y-values

-----------------------

      0                2

 

    -5                 0

 

We could add additional points, but it is not necessary for this line.

 

Questions?

Answer 2

Solve for y: 5y = 2x + 10    Divide by 5.

y = 2/5 x + 2

slope = 2/5   and y-intercept = 2

Plot two on the y-axis. From that point go up two and right 5. Connect the two points and graph your line.