document.write( "Question 552413: I am trying to help my daughter with her homework from 1300 miles away please help! The problem is find the equation of a line in slope intercept form with an undefined slope and passes though (3,-2). Thank you so much, it's been a long time since I've done this stuff. \n" ); document.write( "
Algebra.Com's Answer #360251 by oberobic(2304)\"\" \"About 
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An equation in slope-intercept form is: y = mx + b.
\n" ); document.write( "m = slope = the 'rise' over the 'run' or the change in y divided by the change in x.
\n" ); document.write( "(0,b) = y-intercept
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\n" ); document.write( "The statement \"with an undefined slope\" has a distinct mathematical meaning: it means you have a situation where you need to divide by 0.
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\n" ); document.write( "In contrast, 0 can be divided by any number, which yields 0 as the answer.
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\n" ); document.write( "The slope = change in y divided by the change in x.
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\n" ); document.write( "slope = m = (y-y1) / (x-x1)
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\n" ); document.write( "To divide by 0 would mean x = x1.
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\n" ); document.write( "That can only be a vertical line.
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\n" ); document.write( "The vertical line that goes through (3,-2) is simply: x = 3.
\n" ); document.write( "This line goes through all of the points from (3, -infinity) to (3, +infinity), where y takes on any value from -infinity to +infinity.
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\n" ); document.write( "Interestingly, the horizontal line that goes through (3,-2) is simply: y = -2. It has a slope = 0.
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\n" ); document.write( "Vertical and horizontal lines are special cases.
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