Do not lose this assessment. Do all your math on your own paper.
Given: f(x) = 2x - 4 and g(x) = -(1/2)x + 2
a) Find the equation of a line that is parallel to f(x). The parallel
line passes through the point (-1, -1). Graph both lines.
b) Find the equation of a line that passes through the point (2, 3)
and is perpendicular to f(x). Graph both lines.
c) Find the equation of a line that passes through the point (-1, -1)
and is parallel to g(x). Graph both lines.
d) Find the equation of a line that is perpendicular to g(x). The
perpendicular line passes through the point (2, 3). Graph both lines.
e) Find the point where f(x) and g(x) intersect. Graph both lines.
f) In general, if line Q has a slope of 'a/b', then all the lines
that are parallel to line Q have what for their slope?
g) In general, if line H has a slope of 'a/b', then all the lines
that are perpendicular to line H have what for their slope?
h) Record the horizontal and vertical intercepts for y = mx + b.
i) The line f(x) = mx + b represents an increasing function when 'm' is what?
j) The line f(x) = mx + b represents a decreasing function when 'm' is what?
k) The line f(x) = mx + b represents a constant function when 'm' is what?