Question 625400: Part 1: Write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form.
Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.
Heres my email Mr.cobb1217@yahoo.com Thank you
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Part 1: Write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form.
Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.
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Part 1
form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
For given problem:
slope=∆y/∆x=rise/run=(-8-4)/(-3-3)=-12/-6=2
equation: y=2x+b
solve for b using any one of given coordinates, (3,4)
4=2*3+b
b=-2
equation of given line: y=2x-2
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Part 2
I does not matter which point is used to get the answer. In fact, you can derive the equation of the straight line with the slope and coordinates of any one point on the line, or with coordinates of any two points on the line. I chose the point (3,4) over (-3,-8) because it feels easier to work with positive numbers, but either point will give the correct answer.
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