Answer:
y = -1/14x + 109/14
Explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 14x + 12. Its slope is 14. A line perpendicular to this one will have a slope of -1/14.
Plug this value (-1/14) into your standard point-slope equation of y = mx + b.
y = -1/14x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -1/14(-3) + b
To find b, multiply the slope and the input of x (-3)
8 = 3/14 + b
Now, subtract 3/14 from both sides to isolate b.
8 - 3/14 = b
112/14 - 3/14 = b
109/14 = b
Plug this into your standard equation.
y = -1/14x + 109/14
This equation is parallel/perpendicular to your given equation (y = 14x + 12) and contains point (-3, 8)
Hope this helps!