A line passes through the points and and is perpendicular to the line

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

A line passes through the points

(2,-1)

and

(k,3)

and is perpendicular to the line

3x+2y-6=0

. Which of the following is the equation of this line in slope–intercept form? (a)

y=\dfrac{2}{3}x+\dfrac{7}{3}

(b)

y=\dfrac{2}{3}x-\dfrac{7}{3}

(c)

y=-\dfrac{2}{3}x+\dfrac{1}{3}

(d)

y=\dfrac{3}{2}x-\dfrac{7}{3}