Two points A and B are A (0,1) and B (2,4). Write down the eqaution of the line perpendicular to AB and Passing through the point (0,2)

y = -2x/3 + 2

Step-by-step explanation:

A(0,1), B(2,4)

slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2

Slope of perpendicular to AB

m = -1/(3/2) = -2/3

Point to lie on perpendicular, P(0,2)

Equation of perpendicular, point-slope form

(y-yp) = m(x-xp)

y-2 = -(2/3)(x-0)

y = -2x/3 + 2

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