The equation of the perpendicular line is y = 1/4x + 5
How to determine the line equation?
The equation is given as:
4x + y = 7
Make y the subject
y = -4x + 7
A linear equation is represented as:
y = mx + c
Where m represents the slope.
This means that:
m = -4
A line perpendicular to 4x + y = 7 will have a slope of:
Slope = -1/m
This gives
Slope = 1/4
The equation of the line is then calculated as:
y = Slope(x - x1) + y1
This gives
y = 1/4(x + 8) + 3
Expand
y = 1/4x + 2 + 3
Evaluate
y = 1/4x + 5
Hence, the equation of the perpendicular line is y = 1/4x + 5
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