SOLUTION: (-3,4), (3,-4) please help me write an equation in slope intercept form of the line passing through the given points. thanks :)

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: (-3,4), (3,-4) please help me write an equation in slope intercept form of the line passing through the given points. thanks :)      Log On

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Question 167462: (-3,4), (3,-4)
please help me write an equation in slope intercept form of the line passing through the given points.
thanks :)
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
(-3,4), (3,-4)
First we find the slope (m)
m=(y2-y1)/(x1-x2)
m=(-4-4)/(3+3)
m=-8/6=-4/3 is the slope
Now replace one set of x&y values in the line formula[Y=mX+b] & solve for the y intercept(b).
4=-4/3*-3+b
4=12/3+b
4=4+b
b=4-4
b=0
y=-4x/3 is the line equation for a line through (-3,4)(3,-4).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-4x%2F3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -4x/3).