SOLUTION: write an equation in slope intercept form for graph. (4,3) (7,-2)

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Question 54875: write an equation in slope intercept form for graph.
(4,3) (7,-2)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation in slope intercept form for graph.
(4,3) (7,-2)
We need a slope and a point to make the equation of a line. The formula for finding the slope (m) when given two points is:
highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29
(x1,y1)=(4,3) and (x2,y2)=(7,-2)
y=%28-2-3%29%2F%287-4%29
m=-5/3
Now we use one of the points (x1,y1)=(4,3) and the slope m=-5/3 in the point slope formula: highlight%28y-y1=m%28x-x1%29%29.
y-3=%28-5%2F3%29%28x-4%29
3%28y-3%29=3%28-5%2F3%29%28x-4%29
3y-9=%28-15%2F3%29%28x-4%29
3y-9=-5%28x-4%29
3y-9=-5x%2B20
3y-9%2B9=-5x%2B20%2B9
3y=-5x%2B29
3y%2F3=-5x%2F3%2B29%2F3
y=-%285%2F3%29x%2B29%2F3
Happy Calculating!!!