SOLUTION: 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 p

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.
Found 3 solutions by stanbon, ankor@dixie-net.com, oberobic:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The problem is find the equation of a line in slope intercept form with an undefined slope and passes though (3,-2).
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Plot the point (3,-2)
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If the slope is undefined the line is a vertical line.
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Draw a vertical line thru (3,-2).
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Notice that the line passes thru ALL the points
where x = 3.
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Equation:
x = 3
--
In slope intercept form:
0*y + x = 3
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Cheers,
Stan H.
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Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
find the equation of a line in slope intercept form with an undefined slope and passes though (3,-2).
:
a line with a undefined slope is a vertical line, the equation: x=3
It passes thru all values for y including y=-2. it's parallel to the y axis so
the slope/intercept form seems rather meaningless
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
An equation in slope-intercept form is: y = mx + b.
m = slope = the 'rise' over the 'run' or the change in y divided by the change in x.
(0,b) = y-intercept
.
The statement "with an undefined slope" has a distinct mathematical meaning: it means you have a situation where you need to divide by 0.
.
In contrast, 0 can be divided by any number, which yields 0 as the answer.
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The slope = change in y divided by the change in x.
.
slope = m = (y-y₁) / (x-x₁)
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To divide by 0 would mean x = x₁.
.
That can only be a vertical line.
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The vertical line that goes through (3,-2) is simply: x = 3.
This line goes through all of the points from (3, -infinity) to (3, +infinity), where y takes on any value from -infinity to +infinity.
.
Interestingly, the horizontal line that goes through (3,-2) is simply: y = -2. It has a slope = 0.
.
Vertical and horizontal lines are special cases.

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