SOLUTION: Why is it not possible to write the equation of the line through (-8, -5) and (-8, -9) in point-intercept form?
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Question 501950: Why is it not possible to write the equation of the line through (-8, -5) and (-8, -9) in point-intercept form?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First let's find the slope of the line through the points )
and )
Note: )
is the first point . So this means that and .
Also, )
is the second point . So this means that and .
Start with the slope formula.
Plug in , , , and
Subtract from to get
Subtract from to get
Remember, you cannot divide by zero. So this means that the slope is undefined.
Since the slope is undefined, this means that the equation of the line through the points and is .
Any equation in the form x = k where k is some number CANNOT be written in the form , which is why it is not possible to write the equation of the line through (-8, -5) and (-8, -9) in point-intercept form.
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