calculusxy
  • calculusxy
Use the point-slope form equation to solve this problem: Passing through (3,5) and (3, 2)
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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Tommynaut
  • Tommynaut
The point-slope equation is \[y - y _{1} = m(x - x _{1})\] where \[(x_{1}, y_{1})\] is any point on the line, and m is the gradient. To solve this problem, use the gradient formula \[m = \frac{ y_{2} - y_{1} }{x_{2} - x_{1} }\] first to find m, then choose either point to plug into the point-slope equation.
calculusxy
  • calculusxy
I got m to be 0.
Tommynaut
  • Tommynaut
Are you sure you got 0 as the gradient? A negative denominator doesn't mean zero, it means... well, you can't divide by 0, so some people would say it means infinity. In this case though, a line with infinite slope would just be a vertical line, right?

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Tommynaut
  • Tommynaut
A zero denominator, I mean. Sorry for that confusion.
calculusxy
  • calculusxy
So what am I supposed to put for that?
Tommynaut
  • Tommynaut
I was leading you down the wrong path :P When we have two point that lie on either a horizontal line or a vertical line, it becomes much easier to find the equation! No formulas needed. If you were to roughly plot the two points, what do you notice about the line?
calculusxy
  • calculusxy
They would be on the same x-axis
calculusxy
  • calculusxy
@Tommynaut
calculusxy
  • calculusxy
So would it be undefined slope?
Tommynaut
  • Tommynaut
Yes, they would be on the same vertical line. Remember, all horizontal lines are of the form y = b, where b is some number; and all vertical lines are of the form x = a, where a is some number. So we know our equation is going to look like x = a. The question is, what is a? What can we tell about all the x values on our line? And yes, the slope is undefined.
Tommynaut
  • Tommynaut
So, what did you get as your final answer?

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