we have
[tex]y=12x-3[/tex]
Step 1
Make a table of ordered pairs for the equation
Assume different values of x and calculate the value of y in the equation
A) For [tex]x=-1[/tex]
[tex]y=12*(-1)-3=-15[/tex]
the ordered pair is [tex](-1,-15)[/tex]
B) For [tex]x=-0.5[/tex]
[tex]y=12*(-0.5)-3=-9[/tex]
the ordered pair is [tex](-0.5,-9)[/tex]
C) For [tex]x=0[/tex]
[tex]y=12*(0)-3=-3[/tex]
the ordered pair is [tex](0,-3)[/tex]
D) For [tex]x=0.5[/tex]
[tex]y=12*(0.5)-3=3[/tex]
the ordered pair is [tex](0.5,3)[/tex]
E) For [tex]x=1[/tex]
[tex]y=12*(1)-3=9[/tex]
the ordered pair is [tex](1,9)[/tex]
in the attached figure see the table
Step 2
Graph the line
Plot the points [tex](0,-3)[/tex] and [tex](1,9)[/tex]
see the attached figure
