Answer
Explanation
In order to graph the line given, we have to calculate the coordinates by choosing any value for x and getting one for y.
• x = –3
[tex]y=-(-3)+3=3+3=6[/tex]
Then, the coordinate is (–2, 5).
• x = –2
[tex]y=-(-2)+3=2+3=5[/tex]
The coordinate is (–3, 6).
• x = –1
[tex]y=-(-1)+3=1+3=4[/tex]
The coordinate is (–1, 4).
• x = 0
[tex]y=-(0)+3=3[/tex]
The coordinate is (0, 3).
• x = 1
[tex]y=-(1)+3=-1+3=2[/tex]
The coordinate is (1, 2).
• x = 2
[tex]y=-(2)+3=-2+3=1[/tex]
The coordinate is (2, 1).
• x = 3
[tex]y=-(3)+3=-3+3=0[/tex]
The coordinate is (3, 0).
Finally, we can display these coordinates in a table:
Finally, we graph the points in the Cartesian Plane and unite them with a straight line.
