289,158 views
27 votes
27 votes
Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)

User Wreck
by
2.9k points

1 Answer

22 votes
22 votes

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

User Daemonofchaos
by
3.1k points
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