The equation of line is y= -1/4x + 2
<h3>What is Equation of line?</h3>
The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.
The general form is 
given:
line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
Here the slope of given line is 4.
So, the slope of perpendicular lines is
m = -1/4
Now, as the line passes through (-8, 4)
Then using
(y - y1) = m (x- x1)
y- 4= -1/4(x- (-8))
y-4 = -1/4 ( x+8)
y-4 = -1/4 x - 2
y= -1/4x + 2
Hence, the equation of line is y= -1/4x + 2.
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