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