Year 10
Higher

Write the equation of a straight line if parallel to a line and passing through (0,n)

Year 10
Higher

Write the equation of a straight line if parallel to a line and passing through (0,n)

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Lesson details

Key learning points

  1. In this lesson, we will investigate how to calculate the equation of a straight line that is parallel to an existing line, and passes through a known point on the y-axis.

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3 Questions

Q1.
1) Which of these equations of a line is parallel to y = 5x− 8?
y=-5x
y=-5x-8
Correct answer: y=5x+4
y=x-8
Q2.
2) Which of these equations of the line is parallel to y = 3x + 5 and passes through (0, 2).
y=-3x+2
y=3x
Correct answer: y=3x+2
y=3x+4
Q3.
3) Which of these equations of the line is parallel to x + y = 8 and passes through (0, -4).
Correct answer: y = -x -4
y = -x + 4
y = -x + 8
y = x -4

4 Questions

Q1.
1. Which of these lines is parallel to y = 3𝑥 + 4?
An image in a quiz
A
B
Correct answer: C
D
Q2.
2. Which of these lines is parallel to y = 3𝑥 + 4 and passes through (0, 8)?
An image in a quiz
Correct answer: A
B
C
D
Q3.
3. Which of these lines is parallel to 2y = −6𝑥 + 2?
An image in a quiz
A
Correct answer: B
C
D
Q4.
4. Which of these lines is parallel to 2y = −6𝑥 + 4 and passes through (0, 1)?
An image in a quiz
A
B
C
Correct answer: D