show that the following sets of points are collinear and find the equation of the line passing through them
(-5,1),(5,5),(10,7)
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85 will be the answer to the question
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Answer:
For the points to be collinear,the slope of the points has to be equal
slope of (-5,1) and (5,5)=5-1/5+5=4/10=2/5
slope of (5,5) and (10,7)=7-5/10-5=2/5
Therefore the points are collinear.
For the equation
Taking the points (5,5) and (10,7)
Equation will be through (5,5)
slope=2/5
y-y1=m(x-x1)
y- 5=2/5(x-5)
5(y-5)=2(x-5)
5y-25=2x-10
5y=2x-10+25
5y=2x+15_____Answer
this is the required answer.......hope it helps
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