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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 x3 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. ___________________