Respuesta :

The correct equation must have a slope of 3/2. The required equation is y=3/2x

Equation of perpendicular line

The standard equation of a line is y = mx + b

where;

m is the slope

b is the y-intercept

Given the following equation

y=−2/3x+1

The slope of the line is -2/3

For two lines to be perpendicular, the product of their slope must be zero.

mm1 = 01
-2/3m = -1
m = 3/2

This shows that the correct equation must have a slope of 3/2. The required equation is y=3/2x

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