Question 777454: Please help me answer these questions
Give an example of how you could find a linear equation if you were given the y-intercept and the slope.
Give an example of how you could find a linear equation given other information (either two points, or the slope and a point other than the y-intercept).
How are these two processes similar?
How are they different?
Provide an example where you have to find an equation given some combination of "other information"
Answer by FrankM(1040)   (Show Source):
You can put this solution on YOUR website! A) Picture the X-Y graph. There are an infinite number of possible straight lines. If we fix the slope, the lines are all parallel, but there are still an infinite number. But, once the slope is fixed, and you tell me any point, only one line can pass through it.
The form is Y=mX+b where m is the slope and b is the Y-intercept. Don't be fooled. The Y-intercept is simply a point with the distinction that X=0.
B) If you tell me two points, I know that only one straight line can pass through these two points, and the equation becomes m=(y2-y1)/(x2-x1) to solve for the slope, and then choose either point, y-y1=m(x-x1) to fill in the equation.
To determine the equation of a straight line, you need either two points or one point and the slope.
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