Answer:
-x + 3y = 26
Explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-2, 8) ⇒ x₁ = -2, y₁ = 8
Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:
y - 8 = ¹/₃(x - (-2))
y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}
3y - 24 = x + 2 {subtract x from both sides}
-x + 3y - 24 = 2 {add 24 to both sides}
-x + 3y = 26