Question

On a piece of paper, graph y< x-3. Then determine which answer matches the graph you drew

Answer 1

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

$y$

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

$y=x-3$

Now, we plot this line on a graph. The given line is of the form:

$y=mx+b$ Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line $y=x-3$, $m=1,b=-3$

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, $0=x-3\\x=3$

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality $y$. The 'y' value is less than $x-3$. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.