Question

1

Answer 1

Given:

The inequality is:

$y>5x+3$

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

$y=mx+b$            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

$y>5x+3$

The relation equation is:

$y=5x+3$             ...(ii)

On comparing (i) and (ii), we get

$m=5$

$b=3$

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.