Answer:
y = -x/4 + 4 (slope intercept form)
Step-by-step explanation:
From Equation of the line L, y=4x - 6 and comparing with the general equation of line, y=mx+c, we have,
m1 = 4
For perpendicularity:
m1m2 = -1
m2 = -1/4
Hence, the equation of the line passing through (8,2) and perpendicular to L is
y - y1 = m2(x-x1)
y - 2 = -1/4(x-8)
y-2 = -x/4 + 2
y = -x/4+2+2
y = -x/4 + 4 (slope intercept form)
where slope, m2= -1/4, c = 4
