Given:
The inequality is:
![y5x+3](/tpl/images/1260/4723/cafc6.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,
![y5x+3](/tpl/images/1260/4723/cafc6.png)
The relation equation is:
...(ii)
On comparing (i) and (ii), we get
![m=5](/tpl/images/1260/4723/26853.png)
![b=3](/tpl/images/1260/4723/34d46.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.