The equation of the line is y = 1/6x + 3
<h3>How to determine the equation?</h3>
The equation of the line is given as:
y = -6x - 14
The above equation has a slope of
m = -6
Let the slope of the other line be n.
So, we have:
n =-1/m ---- slope condition for perpendicular lines
So, we have:
n = 1/6
The equation is then calculated as:
y = n(x - x1) + y1
Where
(x1, y1) = (12,5)
This gives
y = 1/6(x - 12) + 5
Expand
y = 1/6x - 2 + 5
Evaluate the sum
y = 1/6x + 3
Hence, the equation of the line is y = 1/6x + 3
Read more about linear equations at:
brainly.com/question/14323743
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