Question 766576
First, remember that parallel lines have the same slope and perpendicular lines have "opposite reciprocal" slopes. An example of perpendicular would be 4/3 vs. -3/4.  
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There are three forms of the linear equation, each useful for different things:
1)Slope-intercept form: useful to find slope and y-intercept
2) Standard Form: useful for finding x and y intercepts
3) Point-slope form: useful for finding the equation of the line with a given slope through a given point.
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1) Your teacher gave these equations to you in Standard form (blah!).  Let's convert to slope-intercept to find the slope:
-3x + 2y = -5
      2y = 3x - 5 (added 3x to both sides)
       y = 3/2x =- 5/2 (divided both sides by 2)
We now see the slope is 3/2. The perpendicular slope would be -2/3.
Next, "through (-2, -1)... Use point-slope form.
y - y1 = m(x - x1)
y - -1 = -2/3(x - -2)
y + 1 = -2/3(x + 2) 
y + 1 = -2/3x - 4/3 (distributed the -2/3)
y = -2/3x - 7/3 (subtracted 1 from both sides)
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Your other to questions can be answered in the exact same way EXCEPT that 2) is asking for parallel.  In this case, use the same slope you get when converting -2x - 3y = -5 to slope-intercept form.