A line passes through (0, 2) and has a slope of 1/3. What is the equation of the line in slope-intercept form?

A) y=1/3x+2
B) y=1/3x−2
C) y=−1/3x+2

A)

y=1/3x +2

Step-by-step explanation:

equation of line is y=mx+c

so here the points are (0,2) and the gradient,m is 1/3

the y-intercept, c is 2

as when substituting the result is 2 for the y-intercept

y=mx+c (0,2)

2=1/3 (0) +c

c= 2

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6