SOLUTION: Find the equation of the line containing the given pair of points.. (-1,-5)(-4,-9)

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Question 367470: Find the equation of the line containing the given pair of points..
(-1,-5)(-4,-9)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start with the slope-intercept form: y+=+mx%2Bb
Find the slope:
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Substitute the x- and y-coordinates from the two given points: (-1,-5) and (-4,-9).
m+=+%28-9-%28-5%29%29%2F%28-4-%28-1%29%29 Evaluate.
m+=+%28-9%2B5%29%2F%28-4%2B1%29
m+=+%28-4%29%2F-3
m+=+4%2F3 So now you have:
y+=+%284%2F3%29x%2Bb Substitute the x- and y-coordinate values from any one of the tw given points and solve for b.
-5+=+%284%2F3%29%28-1%29%2Bb Evaluate.
-5+=+-4%2F3+%2B+b Add 4%2F3 to both sides.
-11%2F3+=+b The final eaquation is:
highlight%28y+=+%284%2F3%29x-11%2F3%29