Answer :
Let's pick two points on the line, the y-intercept, and the x-intercept. These are the points at which x=0, and y=0.
When x=0:
[tex]y=-3/5x+6 \\y=-3/5(0)+6 \\y=6[/tex]
So one point is (0,6)
When y=0:
[tex]y=-3/5x+6 \\0=-3/5x+6 \\-6=-3/5x \\-30=-3x \\x=10[/tex]
So another point is (10,0)
So mark the points (0,6) and (10,0) on a pair of axes, and draw a straight line between them, and past them to infinity. This is a graphing of the line y=-3/5 x + 6
When x=0:
[tex]y=-3/5x+6 \\y=-3/5(0)+6 \\y=6[/tex]
So one point is (0,6)
When y=0:
[tex]y=-3/5x+6 \\0=-3/5x+6 \\-6=-3/5x \\-30=-3x \\x=10[/tex]
So another point is (10,0)
So mark the points (0,6) and (10,0) on a pair of axes, and draw a straight line between them, and past them to infinity. This is a graphing of the line y=-3/5 x + 6
