SOLUTION: Write the equation of the line that passes through the points (3,5) and (-1,10)

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Question 54977: Write the equation of the line that passes through the points (3,5) and (-1,10)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line that passes through the points (x1,y1)=(3,5) and (x2,y2)=(-1,10)
:
We need a slope (m) and a point to make the equation of a line:
If we have two points, (x1,y1) and (x2,y2) we can find the slope with the slope formula:highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29
m=%2810-5%29%2F%28-1-3%29
m=5%2F-4
:
Now that we have a slope to go with a point we can use the point-slope formula highlight%28y-y1=m%28x-x1%29%29, where m=slope and (x1,y1) is a given point, to make an equation of a line:
y-5=%28-5%2F4%29%28x-3%29
4%28y-5%29=4%28-5%2F4%29%28x-3%29
4y-20=%28-20%2F4%29%28x-3%29
4y-20=-5%28x-3%29
4y-20=-5x%2B15
4y-20%2B20=-5x%2B15%2B20
4y=-5x%2B35
4y%2F4=-5x%2F4%2B35%2F4
highlight%28y=%28-5%2F4%29x%2B35%2F4%29
Happy Calculating!!!