SOLUTION: can you help me:(((write an equation for the line going through the points (3,2) and (-2,4))))

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Question 153304This question is from textbook Algebra structure and method book 1
: can you help me:(((write an equation for the line going through the points (3,2) and (-2,4))))This question is from textbook Algebra structure and method book 1

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of the line using the two point slope formula,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%284-2%29%2F%28-2-3%29
m=%282%29%2F%28-5%29
m=-%282%2F5%29
Then us the point-slope form of the line using one of the points and the slope.
y-y%5B1%5D=m%28x-x%5B1%5D%29
I'll use (-2,4) as the point.
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-4=-%282%2F5%29%28x-%28-2%29%29
y-4=-%282%2F5%29%28x%2B2%29
y=-%282%2F5%29x-4%2F5%2B4%29
y=-%282%2F5%29x-4%2F5%2B20%2F5%29
y=-%282%2F5%29x%2B16%2F5%29
drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2Cgrid%28+1+%29%2Ccircle%283%2C2%2C.2%29%2Ccircle%28+-2%2C+4%2C+.2+%29%2Cgreen%28line%28+-10%2C+7.2%2C+10%2C-.8%29%29%29