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HW 2 - Standard Form
HW 2 - Parallel/ Perpendicular Lines
Applications
100

Write an equation of the line in standard form that passes through the given point and has the given slope. 

(4, 3); m = 7

7x – y = 25

100

Write an equation of the line, in standard form, that passes through the given point and is parallel to the given line.

y = 5x – 3; (4, 7)

 y = 5x-13 → 5x – y = 13

200

Write an equation of the line in standard form that passes through the given point and has the given slope. 

(-15, -4); m = 1/2

x – 2y = -7

200

Write an equation of the line, in standard form, that passes through the given point and is parallel to the given line.

3y = 2x + 3;  (3, -2)

y = 2/3 x - 4  which leads to 2x - 3y = 12

300

Write an equation of the line in standard form that passes through the given points.

(2, 6), (3, 8)

 2x – y = -2

300

Write an equation of the line, in standard form, that passes through the given point and is perpendicular to the given line.

y = -1/5 x + 1; (3, -7)

 y = 5x-22→ 5x – y = 22

400

Write an equation of the line in standard form that passes through the given points.

(-3, -1), (6, -8)

7x + 9y = -30

400

Write an equation of the line, in standard form, that passes through the given point and is perpendicular to the given line.

8x + 3y = 7; (-4, -8)

y = 3/8 x - 13/2 which leads to 3x - 8y = 52

400

A racquetball club charges an initial member ship fee as well as a charge of $12 per month for unlimited access to their courts. John went to the club for 6 months and was charged $97.

How much is the cost of the initial fee?




$29 is the initial fee

500

Write an equation of the horizontal and vertical lines that pass through the given point.

(-2, 6)

 horizontal: y=6; vertical: x = -2

500

Determine which of the following lines, if any, are parallel or perpendicular.

     Line a: y = -2x + 5;         Line b: 2y – x = 3;        Line c:  2x + y = 1

A and C are parallel.  B is perpendicular to both A and C.

500
  • A model of a kite design is shown on the graph:
  • Write an equation that models line A of the kite.
  • Write an equation that models line B of the kite.
  • Do the kite parts form a right angle (a right angle measures 90o)?  Explain your answer.

a) y = 2/3 x + 4

b) y= -4/3 x + 4

c) No, by definition, if the lines formed a 90o angle, 

the lines would have to be perpendicular.  Since the slopes are not negative reciprocals of each other (their product is not -1), the lines are not perpendicular.