Question

What is the equation of this line? y=−23x y=23x y=−32x y=32x

Answer 1

You seem to have misphrased your sentence. there are 4 different lines. Just a heads up ;)
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I'm pretty sure the eqautions you gave us are the equations they're supposed to be in, since all of these numbers have a Y-intercept of 0.
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1. y = -23x or y = -23x + 0

2. y = 23x or y = 23x + 0

3. y = -32x or y = -32x + 0

4. y = 32x or y=32x + 0

Answer 2

There is no picture of a line. Please attach that. Remember though that the number in front of x is the slope or the rise/ run     or (x2-x1)/(y2-y1) and you can solve for the line.