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Parallel lines

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by

Mr Mattock

on 17 September 2016

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Transcript of Parallel lines

Parallel lines
Starter
Find the gradient of these lines:

(a) y = 4x + 2
(b) y = x - 5
(c) y = 6 - 7x
(d) The line between (0, 4) and (3, 13)
(e) The line between (2, 1) and (6, 4)
Main Activity 1
Match the lines that parallel with each other. There may be more than one in a group.
Parallel Lines
Find the lines parallel to the given lines, passing through the given points.

(a) y = 4x - 2 (0, 5)

(b) 5 - 4x = y (0, -3)

(c) y = x - 3 (8, 9)
L.O. - Find the equation of parallel lines.
1
2
Starter
Find the gradient of these lines:

(a) y = 4x + 2
m = 4
(b) y = x - 5
m =
(c) y = 6 - 7x
m = -7
(d) The line between (0, 4) and (3, 13)
m = 3
(e) The line between (2, 1) and (6, 4)
m =
1
2
1
2
3
4
3
4
Main Activity 1
Match the lines that parallel with each other. There may be more than one in a group.
Graph A: y = 3x + 2
Graph B: y = 2x - 1, x = + 2
y
2
Graph C: 2y + 2x = 6, y = 3 - x, x = 10 - y
Graph D: 2y = x + 3, x = 2y - 4
Key
Examples

Activities
Activity
Answers

Worked
Example

Parallel Lines
Find the lines parallel to the given lines, passing through the given points.

(a) y = 4x - 2 (0, 5)
y = 4x + 5


(b) 5 - 4x = y (0, -3)
y = -4x - 3


(c) y = x - 3 (8, 9)
y = x + 3
3
4
3
4
Parallel Lines
Lines are parallel if they have the same gradient.

(a) y = 4x - 2 2y + 8x = 6

(b) 5 - 4x = y 3y + 12x -7 = 0

(c) y = x - 3 4y - 3x = 5
3
4
Parallel Lines
Lines are parallel if they have the same gradient.

(a) y = 4x - 2 2y + 8x = 6

(b) 5 - 4x = y 3y + 12x -7 = 0

(c) y = x - 3 16y - 12x = 5
3
4
No, gradient of 4
compared to -4
Yes, gradients of -4
Yes, gradients of
3
4
Worked
Example

Activity
Activity
(a) y = 4x + 7

(b) y = 3 - x

(c) y = x + 4
1
3
Full transcript