Download 4.3 Parallel and Perpendicular Lines a) slope = ____ a) slope

4.3 Parallel and Perpendicular Lines
NAME __________________________________
Learning Objective: F.LE.2
I will write a linear equation in slope-intercept form using the properties of
parallel and
perpendicular lines
S.ID.7
I will interpret the slope of a line parallel or perpendicular to a given line
Write an equation in slope-intercept form for the line that passes through the given point and is parallel
to the graph of each equation. Parallel = Same Slope
1
1. (0, 4), y = –4x + 5
2. (4, –3), y = 3x − 5
3. (–4, 2), y =  2 x + 6
4. (9, 12), y = 13x − 4
a) slope = ____
a) slope = ____
a) slope = ____
a) slope = ____
y – y1 =
m (x – x1)
b) y – __ = __(x – __)
c) y = ___x + ___
Write an equation in slope-intercept form for the line that passes through the given point and is
perpendicular to the graph of each equation. Perpendicular = Negative Reciprocal (flip and change)
5. (–2, 3), y = 
1
x−4
2
a) slope = ____
y – y1 =
1
x–3
2
6. (–1, 4), y = 3x + 5
7. (–5, 2), y =
a) slope = ____
a) slope = ____
1
8. (2, 6), y =  4 x + 3
a) slope = ____
m (x – x1)
b) y – __ = __(x – __)
c) y = ___x + ___
Determine whether the graphs of the following equations are parallel or perpendicular. Explain.
9. y 
1
1
x, y x
2
2
10. y = –6x + 4, y 
1
x
6
11. y = 4x + 3, 4x + y = 3
Determine whether the graphs of the following equations are parallel or perpendicular. Explain.
12. y = –2x,
2x + y = 3
13. 2x + 5y = 15, 3x + 5y = 15
Put in y = mx + b form
15. 2y = 6x – 10
14. 2x + 7y = –35, 4x + 14y = –42
Put into standard form: Ax + By = C
17. 4y = 7 – 3x
16. 2x + y = 7
18. 5y = 2x + 3
Graph each.
19. y = 3x – 1
20. 2y = –4x + 6
21. 2x + 5y = –10
m = ____ b = ____
y = _____________
x-int = ____ y-int = ____
Answers: 1) y = –4x + 4
9) m =
3) y = 
1
1
, m= 
neither
2
2
13) m = 
2
3
, m= 
neither
5
5
1
x
2
5) y = 2x + 7
7) y = –2x – 8
11) m = 4, m = -4 neither
15) y = 3x – 5
17) 3x + 4y = 7
22. y = 3