172k views
1 vote
6. Write the equation of the line. ​

6. Write the equation of the line. ​-example-1

1 Answer

3 votes

Answer:

y = x + 2

Explanation:

As the equation of a line is in the form y = mx + c:

Step 1 - Calculate the y intercept

This can be done by looking at the y coordinate where x = 0:

y = mx + c

In the picture, the y intercept is 2 so:

y = mx + 2

Step 2 - Calculate the slope

This can be calculated by:


\frac{\text{change in y}}{\text{change in x}}

Get two sets of coordinates:

(0, 2) and (2, 4)

Calculate the changes by subtracting from one another:


(4 - 2)/(2 - 0) \\(2)/(2)\\=1

So the gradient is 1, meaning the equation of the line is:


y = 1x + 2 \\\text{or}\\y = x + 2

Hope this helps!

User Federico Zanetello
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories