Solution:
a) Given the equation of line m below

Using a graphing tool, the graph of line m is shown below
The line is labeled m
b) A line, p, is parallel to line m and passes through point (3, 4)
The slope of parallel lines is equal.
Thus, the slope of line p is 2/3
To find the equation of line p, the formula is

Substitute the coordinates and the slope into the formula above

The graph of line p, is shown below
c) The equation of line p in slope-intercept form is

d) Line s is perpendicular to line m,
To find the slope of a perpendicular line, the formula is

And line s passes through the point (0, -4),
The equation of line will be

The graph of line s is shown below
e) The equation of line s in slope intercept form is

f) To justify if line s is perpendicular to line p,
Using their slopes

Hence, line s is perpendicular to line p