Part a)
we have
[tex]y=-\frac{1}{3}x+4[/tex]
let's assume different values of x to calculate the values of y
a) For [tex]x=0[/tex]
[tex]y=-\frac{1}{3}*0+4[/tex]
[tex]y=4[/tex]
The ordered pair N [tex]1[/tex] is [tex](0,4)[/tex]
b) For [tex]x=3[/tex]
[tex]y=-\frac{1}{3}*3+4[/tex]
[tex]y=3[/tex]
The ordered pair N [tex]2[/tex] is [tex](3,3)[/tex]
c) For [tex]x=6[/tex]
[tex]y=-\frac{1}{3}*6+4[/tex]
[tex]y=2[/tex]
The ordered pair N [tex]3[/tex] is [tex](6,2)[/tex]
d) For [tex]x=12[/tex]
[tex]y=-\frac{1}{3}*12+4[/tex]
[tex]y=0[/tex]
The ordered pair N [tex]4[/tex] is [tex](12,0)[/tex]
see the table in the attached figure N [tex]1[/tex]
Part b)
Plot two points to graph the equation
Let
[tex]A(0,4)\\B(12,0)[/tex]
Plot the point A and B
using a graph tool
see the attached figure N [tex]2[/tex]
