Answer:
The answer in the attached figure
Step-by-step explanation:
we have
[tex]y=4x+2[/tex]
The graph of this equation is a straight line
The domain is all real numbers
The range is all real numbers
Step 1
Find the value of y for [tex]x=-2[/tex]
Substitute the value of x in the equation and solve for y
[tex]y=4(-2)+2[/tex]
[tex]y=-8+2[/tex]
[tex]y=-6[/tex]
The ordered pair is the point [tex](-2,-6)[/tex]
Step 2
Find the value of y for [tex]x=1[/tex]
Substitute the value of x in the equation and solve for y
[tex]y=4(1)+2[/tex]
[tex]y=4+2[/tex]
[tex]y=6[/tex]
The ordered pair is the point [tex](1,6)[/tex]
Step 3
Find the value of y for [tex]x=2[/tex]
Substitute the value of x in the equation and solve for y
[tex]y=4(2)+2[/tex]
[tex]y=8+2[/tex]
[tex]y=10[/tex]
The ordered pair is the point [tex](2,10)[/tex]
Step 4
Plot the ordered pairs
[tex](-2,-6)[/tex]
[tex](1,6)[/tex]
[tex](2,10)[/tex]
see the attached figures
