equation slope intercept form

Question

What is an equation of a line (in slope-intercept form) that passes through the points (4, 0) and (negative-2, 1)

do I subtract 0-1/4-(-2).

Answer 1

yes, to begin with

(4,0), (-2,1)

slope=(0-1)/(4-[-2])=-1/6

y=mx+b where m=slope and b=y-intercept

y=(-1/6)x+b

using either point

0=(-1/6)(4)+b

0=(-4/6)+b

4/6=b

b=2/3

or,...

1=(-1/6)(-2)+b

1=(2/6)+b

1-2/6=b

1-1/3=b

2/3=b

b=2/3

y=(-1/6)x+2/3