Question

6. Write the equation of the line. ​

Answer 1

Answer:

y = x + 2

Step-by-step 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:

$\frac{4 - 2}{2 - 0} \\\frac{2}{2}\\=1$

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

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

Hope this helps!