SOLUTION: Write the equation in general form of the line passing thru the pints A (1/2, 3) and B (-1/2,-2).

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Question 166655: Write the equation in general form of the line passing thru the pints A (1/2, 3) and B (-1/2,-2).

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points and


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-2-3%29%2F%28-1%2F2-1%2F2%29 Plug in y%5B2%5D=-2, y%5B1%5D=3, x%5B2%5D=-1%2F2, and x%5B1%5D=1%2F2


m=%28-5%29%2F%28-1%2F2-1%2F2%29 Subtract 3 from -2 to get -5


m=%28-5%29%2F%28-1%29 Subtract 1%2F2 from -1%2F2 to get -1


m=5 Reduce


So the slope of the line that goes through the points and is m=5


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-3=5%28x-1%2F2%29 Plug in m=5, x%5B1%5D=1%2F2, and y%5B1%5D=3


y-3=5x%2B5%28-1%2F2%29 Distribute


y-3=5x-5%2F2 Multiply


y=5x-5%2F2%2B3 Add 3 to both sides.


y=5x%2B1%2F2 Combine like terms.


So the equation that goes through the points and is y=5x%2B1%2F2


So the answer in slope intercept form is y=5x%2B1%2F2 which in standard form is 10x-2y=-1