The equation of the new path is y = -1/2x - 4
The equation is given as:
y = 2x - 7
A linear equation is represented as:
y = mx + c
Where m represents slope
This means that:
m = 2
Let the slope of the perpendicular equation be n.
The condition of perpendicular lines is
n = -1/m
So, we have:
n = -1/2
The equation of the new path is then calculated using:
y = n(x - x1) + y1
So, we have:
y= -1/2(x + 2) - 3
Expand
y = -1/2x - 4
Hence, the equation of the new path is y = -1/2x - 4
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