Answer:
y = 1/3 x - 6
Explanation:
Notice that the slope-intercept form is:
y = mx + b
where:
y = y coordinate
m = the slope
x = x coordinate
b = y intercept.
in the plot we can see that the line intercepts the y axis at -6. So b = -6.
to calculate the slope, take any two points on the line, let's say ( 0, -6) and ( 3, -5)
then recall the slope formula is
(y2-y1)/(x2-x1)
from the formula we get:
(y2-y1)/(x2-x1) = ( -5 + 6)/ (3-0) = 1/3
here m = 1/3
so now we subtitle the values back to the slope-intercept formula.
y = 1/3 x - 6