Download PRACTICE 4.3 Write Equations of Parallel and Perpendicular Lines

PRACTICE 4.3 Write Equations of Parallel and Perpendicular Lines
Name: __________________________
Write an equation of the line that passes through the given point and is parallel to the given line.
1. (4, 7), y = 5x –3
2. (3, –2), y =
x+1
3. (–9, 11), 5x –10y = 3
Write an equation of the line that passes through the given point and is perpendicular to the given line.
4. (4, 7), y = 5x –3
5. (3, –2), y =
x+1
6. (–9, 11), 5x –10y = 3
Determine which of the following lines, if any, are parallel or perpendicular.
7. Line a: y = 8x –5, Line b: y = x + 1, Line c: 8x + y = 2
8. Line a: 6x + 2y = 5, Line b: y = x –4, Line c: y = –3x + 5
*Challenge* Kite Design You are beginning to model a kite design on the coordinate plane, as shown.
a. Write an equation that models part A of the kite.
b. Write an equation that models part B of the kite.
c.
Do the kite parts form a right angle? Justify your answer.
10. Choose the statement that is true about the given numbers.
Column A
Column B
The slope of the line through (–2, –1) and (4, 5) The slope of the line through (1, 3) and (3, –2)
F. The number in column A is greater
H. The two numbers are equal
G. The number in column B is greater
J. The relationship cannot be determined.
For #1-14 write the equation of the line in BOTH slope-intercept form and standard form with the given information:
1. Slope is –3, y-int is 7
2. Slope is –3, through the origin
3. Slope is 5, trough (0,2)
SI: _________________
SI: _________________
SI: _________________
ST: __________________
ST: __________________
ST: __________________
Write the equations of the graphs drawn in the form indicated below:
17.
18.
Equation: __________________
19.
Equation: __________________
(Write Equation in Point-Slope)
Equation: __________________
(Write Equation in slope- intercept)
20.
21.
Equation: __________________
Equation: __________________
(Write Equation in Point-Slope)
(Write equation in slope-intercept)
22.
Equation: __________________
(Write Equation in slope- intercept)
26. Which equation fits the pattern in the table?
x
–2
A. y =– x – 3
B. y = x – 3
0
2
C. y = –2 x – 3
D. y = 2 x – 3
4
y
–4
–3
–2
–1
27. Which is an equation for the line which contains
(5,4) and the origin?
(Write equation in Point-Slope)
15. Which of the following equations will be
parallel to y = x + 4?
A. y = –2x + 3
B. y = x – 3
C. y = 2x – 3
D. y = 3x + 2
16. Which of the following will be
perpendicular to y = x + 4?
A. y =
x
B. y = x
A. y =
x–2
B. y = x – 8
C. y =
x
D. y =
C. y =
x+1
D. y = x – 4
x+3