Question

Graph the line.y= -x +3

Answer 1

Step-by-step 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

`y=-(-3)+3=3+3=6`

Then, the coordinate is (–2, 5).

• x = –2

`y=-(-2)+3=2+3=5`

The coordinate is (–3, 6).

• x = –1

`y=-(-1)+3=1+3=4`

The coordinate is (–1, 4).

• x = 0

`y=-(0)+3=3`

The coordinate is (0, 3).

• x = 1

`y=-(1)+3=-1+3=2`

The coordinate is (1, 2).

• x = 2

`y=-(2)+3=-2+3=1`

The coordinate is (2, 1).

• x = 3

`y=-(3)+3=-3+3=0`

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.