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Point slope form that passes through (6,2),slope is 2/3

User Fahimeh Ahmadi
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1 Answer

29 votes
29 votes

Answer

The equation of the line in point-slope is

y - 2 = (2/3) (x - 6)

We can then simplify further by multiplying through by 3

3y - 6 = 2 (x - 6)

3y - 6 = 2x - 12

3y = 2x - 12 + 6

3y = 2x - 6

Step-by-step explanation

To do this, we need to note that

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

Slope = m = (2/3)

Point = (x₁, y₁) = (6, 2)

x₁ = 6

y₁ = 2

y - y₁ = m (x - x₁)

y - 2 = (2/3) (x - 6)

We can then simplify further by multiplying through by 3

3y - 6 = 2 (x - 6)

3y - 6 = 2x - 12

3y = 2x - 12 + 6

3y = 2x - 6

Hope this Helps!!!

User Tengku Fathullah
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2.8k points