SOLUTION: the line 4x+5y=12 is written in stander form. At what point does the graph of this line cross the x-axis

Algebra ->  Linear-equations -> SOLUTION: the line 4x+5y=12 is written in stander form. At what point does the graph of this line cross the x-axis      Log On


   



Question 1081910: the line 4x+5y=12 is written in stander form. At what point does the graph of this line cross the x-axis
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The graph of the line crosses the x axis when y = 0
Plug y = 0 into the equation and isolate x

4x+5y = 12
4x+5*0 = 12
4x+0 = 12
4x = 12
4x/4 = 12/4
x = 3

When we plugged in y = 0 and solved for x, we got x = 3.
So those x and y values pair up to get (x,y) = (3,0)

Therefore, the x intercept is (3,0) meaning that the graph crosses the x axis at 3.