Given the line y = 1/3x + 2, write an equation in slope-intercept form of a parallel line that passes through (-2, -2).

Answer 1

y = x/3 + b, plug in y=x=-2 to find b

-2 = -2/3 +b

b = -2 +2/3 = -4/3

y = x/3 -4/3 is the line in slope intercept form

check by plugging in y=x=-2

-2 = -2/3 -4/3 = -6/3 = -2 It works