Algebra 3/Trig
Review 2.3-5
Name:_________________________
1. Write the equation of the line passing through the points (1,2) and (-3,6).
2. Graph the equation:
y  2 x  4
3. Find the slope of the line
3 x  5 y  21
1. ____________________
2.
3. ___________________
4. Write the equation of the line that passes through (2,1)
and is perpendicular to 2 x  3 y  12
4. ____________________
5. Graph
y  x2  4
5.
6. Graph
y  x 2
6.
7. Write the equation of the circle in general form. ( x  h)2  ( y  k )2  r 2
a.
A circle with radius 2 and center (-3, 4).
7a. ___________________
b.
A circle with endpoints of its diameter (8, -3) and (-4, 13).
7a. ___________________
8. Identify the center and radius of the circle..
(𝑥 − 5)2 + (𝑦 + 3)2 = 20
8. center _____________
radius ____________
9. Solve the proportion
x
2

5 x3
9. x = _________________
10. The ration of men to women at Central Pennsylvania State Community College is 3 to 5. How many
women would you expect in a class that contain 27 men?
10. ____________________
11. Find the constant of variation if T is inversely proportional to R
when R = 20 and T = 50.
11. k = ________________
12. W is directly proportional to Z. If W = - 6 when Z = 2, Find W when Z = - 3.
12. ___________________
13. The frequency of a vibrating string varies directly with the square of the tension.
If a string vibrates at a frequency of 80 hertz due to a tension of 2 pounds, find the
frequency when the tension is 7 pounds.
13. ___________________