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

User Mitch A
by
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1 Answer

3 votes

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

User Kavish  Dwivedi
by
7.6k points

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