Question

complete a table for the rule y = -x + 3. then plot and connect the points on a graph. be sure to label the axes and include the scale. use negative and positive values for x, as well as a value of 0.

Explanation:

Step1: Choose values for x

Let \(x=-2,-1,0,1,2\)

Step2: Calculate corresponding y - values

When \(x = - 2\), \(y=-(-2)+3=2 + 3=5\)
When \(x=-1\), \(y=-(-1)+3=1 + 3=4\)
When \(x = 0\), \(y=-0+3=3\)
When \(x = 1\), \(y=-1+3=2\)
When \(x = 2\), \(y=-2+3=1\)

Step3: Create a table

\(x\)	\(y\)
-1	4
0	3
1	2
2	1

Step4: Plot the points

Plot the points \((-2,5),(-1,4),(0,3),(1,2),(2,1)\) on a coordinate - plane.

Step5: Connect the points

Connect the points with a straight line. Label the x - axis and y - axis and include a scale.

Answer:

Table:

\(x\)	\(y\)
-1	4
0	3
1	2
2	1

Graph: Points \((-2,5),(-1,4),(0,3),(1,2),(2,1)\) are plotted and connected with a straight - line, axes are labeled with scale.