Question

A line is perpendicular to y = {2/3x + 2/3}

and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = - x + [?]

Answer 1

Answer: y = (-3x/2) + 1

Explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives c = 1.

Hence the answer is y = (-3x/2) + 1