Find an equation of the line containing (4,-2) and parallel to the line containing (-1,4) and (2,3).

Put your Answer in general form.

(-1,4) (2,3)

slope = (3-4) / (2 - (-1) = - 1/3 ... a parallel line will have the same slope

y = mx + b

slope (m) = - 1/3

(4,-2) ... x = 4 and y = - 2

now we sub

-2 = - 1/3 (4) + b

-2 = - 4/3 + b

-2 + 4/3 = b

-6/3 + 4/3 = b

-2/3 = b

equation in slope int form is : y = - 1/3x - 2/3

y = - 1/3x - 2/3

1/3x + y = - 2/3 ... multiply by 3

x + 3y = - 2

x + 3y + 2 = 0 < = = general form