Question

What equation represents the linear equation shown in the graph?

Answer 1

Try to find two point that land squarely on clear points.  I'll use (-4,5) and (0,4)

The point slope form of a line is: y=mx+b where m is the slope and b is the y-intercept.

m=(y2-y1)/(x2-x1)=(4-5)/(0--4)

m=-1/4  we know b is 4 because of the point (0,4), but just for the sake of clarity... so far we have m so our line right now is:

y=-x/4 +b  now we can use any point to solve for b, I'll use (-4,5) again...

5=--4/4 +b

5=1+b

b=4  so the line that produces that graph is:

y=-x/4 + 4 or more neatly...

y=(16-x)/4