show that the line perpendicular to y=2/3x-1 that passes through the point (6,3) intercepts the y axis at y= 12

see below

Step-by-step explanation:

y =2/3x - 1

current slope is 2/3

perpendicular slope is the opposite inverse so 2/3 becomes -3/2.

Find y-intercept that passes through point (6, 3) using perpendicular slope -3/2:

  y = mx + b

  3 = -3/2(6) + b

  3 = -9 + b

  b = 12                     < y-intercept is 12

Perpendicular equation of line:

y = mx + b

y = -3/2x + 12

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step-by-step explanation: