Practice quiz
1. Find the equation of the circle given the diameter has endpoints (5,1)
and (7,-2).
a) Find the midpoint.
Hint.
Why does this help?
b) Find the radius of the circle.
Hint
Why does this help?
c) Find the equation of the circle in (h,k) form.
Hint 1.
Hint 2.
2. In 1985, the population of a given town is 24,800. In 1990, the population
is 27,000. Let P stand for the population after t years given that the t=0
in 1980. Assume the population growth rate is linear.
a) Find the growth rate.
Hint1.
Hint2.
Hint3.
b) Find the population in 1980.
Hint1.
Hint2.
Hint3.
Hint4.
c) Write the equation for the population P after t years in slope intercept
form.
Hint1.
Hint2.
Hint3.
d) Find the population in 2002.
Hint1.
Hint2.
Hint3.
3. Find the equation of the line that passes through the point (5,-3) and
a) is parallel to the line 3x+2y=5.
Hint1.
Hint2.
Hint3.
b) is perpendicular to the line 5x-2y=8.
Hint1.
Hint2.
Hint3.