Higher

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

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

- 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

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

y=3x+4

Q3.

3) Which of these equations of the line is parallel to x + y = 8 and passes through (0, -4).

y = -x + 4

y = -x + 8

y = x -4

### 4 Questions

Q1.

1. Which of these lines is parallel to y = 3𝑥 + 4?

A

B

D

Q2.

2. Which of these lines is parallel to y = 3𝑥 + 4 and passes through (0, 8)?

B

C

D

Q3.

3. Which of these lines is parallel to 2y = −6𝑥 + 2?

A

C

D

Q4.

4. Which of these lines is parallel to 2y = −6𝑥 + 4 and passes through (0, 1)?

A

B

C