1) what is the slope of a line that is parallel to the x-axis?
Is a horizontal line, the slope is zero
so
m=0
2) what is the slop of a line that is perpendicular to the x-axis?
Is a vertical line
so the slope is undefined
3) what is the slope of a line that is parallel to the y-axis?
Is a vertical line
so
The slope is undefined
4) what is the slop of a line that is perpendicular to the y-axis?
Its a horizontal line
so
the slope is zero
m=0
Part 2
To find out the slope we need two points
take the points (1,0) and (0,-3)
therefore
m=(-3-0)/(0-1)
m=-3/-1
m=3
the slope is 3
Part 3
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then theior slopes are inverse reciprocal (the product of their slopes is equal to -1)