how do you graph y>5x

Question

i need how do u graph it and why

Answer 1

For this question, it is important to understand that you want a graph that shows the points that satisfy the equation y > 5x, which means the points where y is bigger than 5x.

Step 1) The first step is to draw a y = 5x with a dotted line. Using a dotted line is important here because you want to specify that the numbers on the y=5x graph is not included in the y > 5x area.

Step 2) Then, taking a point from one side of the line, for example, let's take (1,1) [which should be below the line] plug in the point into the original equation.

You get, 

y > 5x

(1) > 5(1)

1 > 5. This statement is NOT true because 1 is not greater than 5.

This means that any point below the line y = 5x will not satisfy your original equation of y > 5x. (You can try other points below the line to see if this statement is actually true.)

Then try picking a point from the other side of the line (1, 6).

Plug this coordinate into the equation:

y > 5x

(6) > 5(1)

6 > 5. This is a true statement because 6 is a bigger number than 5.

This means that any point above the line y = 5x will satisfy your original equation of y > 5x. (You can try other points above the line to see if this statement is actually true.)

 

Step 3) Your next step would be to shade in the other side of the line (so above the line) because as you have just proved, the points below the line does not fit the equation y > 5x, and the points above the line do.

 

You are finished with the graph!

Answer 2

Graph y = 5x with a dotted line. The region above the line is the solution of y > 5x.