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cdw2014
The slope of a perpendicular line is the opposite reciprocal of the original slope. So the slope is 1/3.
Answer: y = x/3 - 2

Work in attached picture.
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Equation of line is y= 1/3*x-2.

What is Equation of line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.

The general equation of a straight line is y = m x + c , where is the m gradient and the coordinates of the y-intercept.

Given point (3,-1) and perpendicular line, y=-3x+2

Now,

slope of given equation is -3

So, the slope of perpendicular line will be 1/3.

Now, equation of line

y-y1= m(x-x1)

y+1= 1/3(x-3)

y+1= 1/3x-1

y= 1/3*x-2

Hence, the equation of line is y= 1/3*x-2.

Learn more about equation of line here:

https://brainly.com/question/15033986

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