Question

On a piece of paper, graph y< -*x+2. Then determine which answer choice matches the graph you drew.

Answer 1

D. graph D

Step-by-step explanation

Step 1

graph the function as a line

convert

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

to graph, find 2 coordianates

a) when x=0

`\begin{gathered} y=-(3)/(4)x+2 \\ y=-(3)/(4)\cdot0+2 \\ y=0+2,\text{ y=2} \\ so,\text{ we have P1(0,2)} \end{gathered}`

b) when

x=-4

`\begin{gathered} y=-(3)/(4)x+2 \\ y=-(3)/(4)\cdot-4+2 \\ y=3+2 \\ y=5 \\ P2(-4,5) \end{gathered}`

now, using two points draw a line

Step 2

we are looking fro values under this line, so the answer is

D. graph D