Given:
The inequality is:
![y>5x+3](https://img.qammunity.org/2022/formulas/mathematics/high-school/iwwisi4eofg1z6jfy1xq6xrdgwzh1aw0ae.png)
To find:
The y-intercept, slope and type of line (solid or dotted).
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
![y>5x+3](https://img.qammunity.org/2022/formulas/mathematics/high-school/iwwisi4eofg1z6jfy1xq6xrdgwzh1aw0ae.png)
The relation equation is:
...(ii)
On comparing (i) and (ii), we get
![m=5](https://img.qammunity.org/2022/formulas/mathematics/college/rp6e700dg1mdudrbocug067rm3sdznfx5z.png)
![b=3](https://img.qammunity.org/2022/formulas/mathematics/high-school/khbufcbowi4z80wjulm6gb4qfi525hivc6.png)
It means the slope is 5 and the y-intercept is 3.
The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.
Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.