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2 years ago

Write the equation of the line which passes through (1, 2) and with slope of −1/3

Mathematics

1 answer:

Sati [7]2 years ago

8 0

Answer:

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2) ⇒ x₁ = 1, y₁ = 2

Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}

¹/₃x + y = 2¹/₃ {multiply both sides by 3}

x + 3y = 7

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