SOLUTION: Hi everyone, Im looking for some help and guidance with the following graphing and equations problems. Id like to learn how to do the following equations, so step by step solutions

Question 199700: Hi everyone, Im looking for some help and guidance with the following graphing and equations problems. Id like to learn how to do the following equations, so step by step solutions would be great.
1. Find the equation of the line passing through the point (-2,5) and parallel to the y axis.
2. A line passes through the point (1,3) and (2,5). Find the euation of this line.
3. Find the y-intercept, the x-intercept, if any, and turning point of the function: y=2x^2-8x+9.
If someone could show me the full workings of the previous problems that would be awesome.
Thanks, -Nick.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

1. Any line parallel to the

-axis is a vertical line with an undefined slope. Vertical lines have the property that the

-coordinates of all ordered pairs in the solution set are identical. Therefore, if your line passes through the point

, then the

-coordinate of every point in the line is

, and the equation that describes such a set of points is

2. You cannot find "the" equation of a line. You can only find "an" equation whose solution set of ordered pairs describes a line. That is because for any given line that represents a set of ordered pairs, there are an infinite number of equations that have the same solution set. Having said that, an equation of the line passing through two points can be derived using the two-point form of the equation of a line:

Where

and

are the given points.

3. I've already given everything you need to know to solve this one. See question 199593. Paste the link into your browser.

http://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.199593.html

John

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