Question

What is the equation of the graphed line?

A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)

Enter your answer in slope-intercept form in the box.

Answer 1

You can put the line into the equation y= MX+c
m = gradient
c = y offset

To work out m you need to divide the change in y by the change in x for two points on the graph:
6--6 = 12 (change in x)
-3--7 = 4 (change in y)

m = 4/12 = 1/3

Then to work out the c variable you need to see where the line crosses the y axis, where this happens is the c variable:
c = -5 because c crosses y at the point -5

Then place it into one equation:
y = 1/3x-5

Hope this helps! :)