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

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