SOLUTION: Find any intercepts. Then graph the linear equation. 2x-5y=5

Algebra ->  Linear-equations -> SOLUTION: Find any intercepts. Then graph the linear equation. 2x-5y=5      Log On


   



Question 106886: Find any intercepts. Then graph the linear equation.
2x-5y=5

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Find any intercepts. Then graph the linear equation.
  2x - 5y = 5

To find the x-intercept, substitute 0 for y

  2x - 5y = 5
2x - 5(0) = 5
   2x - 0 = 5
       2x = 5
        x = 5%2F2 
        x = 21%2F2 

So the x-intercept is the point (21%2F2, 0) 
So mark a point at 21%2F2 on the x-axis.
21%2F2 is halfway between 2 and 3, so mark a
point there on the x-axis, like this:

 

To find the y-intercept, substitute 0 for x

  2x - 5y = 5
2(0) - 5y = 5
   0 - 5y = 5
      -5y = 5
        y = 5%2F%28-5%29 
        y = -1 

So the y-intercept is the point (0, -1) 
So mark a point at -1 on the y-axis, like this:



Now get a ruler and draw a line through those two
points, like this:



That's it!
Edwin