Write an equation in slope intercept form...help

Write an equation in slope intercept form, for a line that satisfies the following condition: x-intercept 6, and y-intercept 20.

y=mx+b
(0)=m(6)+b
-b=6m
-b/6=m

(20)=m(0)+b
20=b

m=-b/6
m=-20/6
m=-10/3

y=(-10/3)x+20

Consider the eq. of a line:

y= mx+b

first, we know that b is the y intercept, so b=20.

plug in 0 for y, and 6 for x, because at the x intercept, y=0. Do this to solve for m.

m=-20/6

now, plug m and b into the first equation to obtain the final result:

y = -20/6x +20

And there you go.

m = -20/3 the change in y divided by change in 6
y-20 = -20/3(x-0)
y = -20x/3 + 20