You can not find 5 solutions for a linear
function.
The only solution is as
follows:
y= 5x-6 =
0
==> 5x = 6
==>
x= 6/5
Then the only solution is x=
6/5
However, you can find five points on the graph of y=
5x-6
To do so, we will choose any value of x and substitute
into the equation.
For
example:
If x= 1 ==> y= 5(1)-6 = 5-6 = -1 ==>
Then we have the point (1, -1) is on the graph of y.
Let x=
0 ==> y= 5*0 - 6 = -6
==> Then we have the
point (0, -6) is on the graph of y.
Also, x=-1 ==>
y= 5*-1 - 6= -5-6 = -11==> (-1, -11)
==> x= 2
==> y= 5*2-6= 10-6= 4 ==> (2, 4)
==>
x= 3 ==> y= 5*3-6 = 15-6 = 9 ==> (3,
9)
Then the 5 points on the graph
are:
(0, -6) , (1, -1) , (-1,
-11) , (2, 4) , and (3, 9)
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