SOLUTION: (2,1) and (-2,-4) find the equation of the line.

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Question 79429: (2,1) and (-2,-4) find the equation of the line.
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
(2,1) and (-2,-4) find the equation of the line.
In order to find the equation of a line, you need a point and a slope.
We have two points, so we can find the slope with the slope formula: highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29, m=slope, (x1,y1) and (x2,y2) are two given points.
(x1,y1)=(2,1) and (x2,y2)=(-2,-4)
m=%28-4-1%29%2F%28-2-2%29
m=-5%2F-4
m=5%2F4
Now you can use the point slope formula to find the equation of a line: highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29, m=slope and (x1,y1) is a given point
(x1,y1)=(2,1) and m=5/4
y-1=%285%2F4%29%28x-2%29
4%28y-1%29=4%285%2F4%29%28x-2%29
4%28y-1%29=5%28x-2%29
4y-4=5x-10
4y-4%2B4=5x-10%2B4
4y=5x-6
-5x%2B4y=-5x%2B5x-6
-5x%2B4y=-6
-1%28-5x%2B4y%29=-1%28-6%29
highlight%285x-4y=6%29 Standard Form
Happy Calculating!!!