Answer :
To find any two random point on the graph of 6x-5y=25, we can just plug in any two values for x and solve for y, and find the 2 points in the form of (x,y).
So lets plug in x=0.
[tex]\sf 6x-5y=25[/tex]
[tex]\sf 6(0)-5y=25[/tex]
[tex]\sf -5y=25[/tex]
[tex]\sf y=-5[/tex]
So one point is (0,-5)
And to find another point, we can plug in x=1
[tex]\sf 6x-5y=25[/tex]
[tex]\sf 6(1)-5y=25[/tex]
[tex]\sf 6-5y=25[/tex]
[tex]\sf -5y=25-6[/tex]
[tex]\sf -5y=19[/tex]
[tex]\sf y=19/-5[/tex]
[tex]\sf y=-3.8[/tex]
So another point is (1,-3.8)
So lets plug in x=0.
[tex]\sf 6x-5y=25[/tex]
[tex]\sf 6(0)-5y=25[/tex]
[tex]\sf -5y=25[/tex]
[tex]\sf y=-5[/tex]
So one point is (0,-5)
And to find another point, we can plug in x=1
[tex]\sf 6x-5y=25[/tex]
[tex]\sf 6(1)-5y=25[/tex]
[tex]\sf 6-5y=25[/tex]
[tex]\sf -5y=25-6[/tex]
[tex]\sf -5y=19[/tex]
[tex]\sf y=19/-5[/tex]
[tex]\sf y=-3.8[/tex]
So another point is (1,-3.8)
