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Answer:
y= -1*x +12
Step-by-step explanation:
x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.
Perpendicular Lines are those with the following condition:
y=a*x+b (1)
y=c*x+d (2)
Where a and c are the respective slope
If These two lines are perpendicular, then
a=- 1/c
Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)
Lets use the given point (5,7) in the equation (2)
7=-1 * 5 + d
resulting d=12
so, our equation for the line is y= -1*x +12
