Question

Graph the given equation by evaluating integer values of x from −2 to 2 and plotting the resulting points.y=−2x+3

Answer 1

Step-by-step explanation

to evaluate a function replace the x place

so

`y=-2x+3`

Step 1

a) when x=-2

replace

`\begin{gathered} y=-2x+3 \\ y=-2(-2)+3 \\ y=4+3 \\ y=7 \\ \end{gathered}`

so

`P1(-2,7)`

b) when x= -1

`\begin{gathered} y=-2x+3 \\ y=-2(-1)+3 \\ y=2+3 \\ y=5 \\ \end{gathered}`

so

`P2(-1,5)`

c) when x= 0

`\begin{gathered} y=-2x+3 \\ y=-2(0)+3 \\ y=0+3 \\ y=3 \\ \end{gathered}`

so

`P3(0,3)`

d)when x= 1

`\begin{gathered} y=-2x+3 \\ y=-2(1)+3 \\ y=-2+3 \\ y=1 \\ \end{gathered}`

so

`P4(1,1)`

e) when x= 2

`\begin{gathered} y=-2x+3 \\ y=-2(2)+3 \\ y=-4+3 \\ y=-1 \\ \end{gathered}`

so

`P4(2,-1)`

Step 2

now, draw a line that connects the points, so