SOLUTION: find the equation of a line for this points (-1,3) and (3,-4)

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Question 65122: find the equation of a line for this points (-1,3) and (3,-4)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation of a line for this points (-1,3) and (3,-4)
In order to find the equation of a line, you need a point and a slope.
Youe can find the slope between two points using the slope formula:
highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29, m=slope, (x1,y1) and (x2,y1) are two given points.
(x1,y1)=(-1,3) and (x2,y2)=(3,-4)
m=%28-4-3%29%2F%283-%28-1%29%29
m=-7%2F4
You can find the equation with a point and a slope using the point-slope formula: highlight%28y-y1=m%28x-x1%29%29, m=slope and (x1,y1)=given point.
The slope, m=-7/4, (x1,y1) can be either point, to avoid confusion, I'm going with: (x1,y1)=(-1,3)
y-3=%28-7%2F4%29%28x-%28-1%29%29
y-3=%28-7%2F4%29%28x%2B1%29
4%28y-3%29=4%28-7%2F4%29%28x%2B1%29
4y-12=-7%28x%2B1%29
4y-12=-7x-7
4y-12%2B12=-7x-7%2B12
4y=-7x%2B5
7x%2B4y=7x-7x%2B5
highlight%287x%2B4y=5%29 This is the equation in standard form.
Happy Calculating!!!