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

Explanation

Step 1

graph the function as a line

convert

$\begin{gathered} y$

to graph, find 2 coordianates

a) when x=0

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

b) when

x=-4

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

now, using two points draw a line

Step 2

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

D. graph D