Question

On a piece of paper, graph y < 3/4 x+2 Then determine which answer matches the graph drew.

Answer 1

Step-by-step explanation:

Given inequality is $y<\frac{3}{4}x+2$.

To graph that inequality, first we need to graph the line $y=\frac{3}{4}x+2$. Then shade it for the inequality symbol <.

Graphing line can be done using two points.

plug x=0 into $y=\frac{3}{4}x+2$, we get:

$y=\frac{3}{4}*0+2=2$

Hence first point is (0,2)

Similarly plug any random number for x say x=4, we get:

$y=\frac{3}{4}*4+2=5$

Hence first point is (4,5).

Now we just need to graph both points and join them by a dotted line. because we have < not <=.

Next part is to test for shading.

Which can be done using any test point which is not on the given line. Say (0,0)

plug x=0,y=0 into $y<\frac{3}{4}x+2$.

$0<\frac{3}{4}*0+2$

$0<0+2$

0<2

which is true, hence shading will be in direction of test point (0,0).

Hence final answer will be the choice which looks like the graph attached below;

Answer 2

Answer:

Lublana has the right explaination, just the wrong graph

Here's the proper one