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!!!