Answer
The equation in the point slope form
y - 6 = 4 (x - 3)
Simplifying further,
y - 6 = 4x - 12
y = 4x - 12 + 6
y = 4x - 6
OR
y - 4x = -6
OR
-4x + y = -6
OR
-4x + y + 6 = 0
Step-by-step explanation
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
For this question,
Slope = m = 4
(x₁, y₁) = (3, 6)
x₁ = 3
y₁ = 6
y - y₁ = m (x - x₁)
y - 6 = 4 (x - 3)
Simplifying further,
y - 6 = 4x - 12
y = 4x - 12 + 6
y = 4x - 6
Hope this Helps!!!