describe the graph of y > mx, where m > 0.
describe the graph of y > mx, where m > 0.
Answer
Explanation:
Step1: Identify the boundary line
The boundary - line of the inequality $y>mx$ is the equation $y = mx$. Since $m>0$, it is a straight line with a positive slope passing through the origin $(0,0)$.
Step2: Determine the solution region
For the inequality $y>mx$, we test a point not on the line. Let's take the point $(0,1)$. Substitute $x = 0$ and $y = 1$ into the inequality $y>mx$. We get $1>m\times0$ (which is $1 > 0$ and is True). So, the solution region is the region above the line $y = mx$.
Answer:
The graph of $y>mx$ ($m > 0$) is the region above the straight - line $y = mx$, which is a straight line with a positive slope passing through the origin.