SOLUTION: Find an equation of the line through the given points. Write the equation in standard form. Through (6,2) and (8,8).

Algebra ->  Equations -> SOLUTION: Find an equation of the line through the given points. Write the equation in standard form. Through (6,2) and (8,8).       Log On


   

Question 113496: Find an equation of the line through the given points. Write the equation in standard form.
Through (6,2) and (8,8).

Answer by MathLover1(20849) About Me  (Show Source):
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Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (6, 2) and (x2, y2) = (8, 8).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%288-2%29%2F%288-6%29+=+3.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 3%2A6+%2Bb+=+-16. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=2-3%2A6+=+-16.

y=(3)x + (-16)

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