Question

6. Write the equation of the line. ​

Answer 1

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!