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

Algebra ->  Algebra  -> Inequalities -> 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

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Question 113244: 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(3376) About Me  (Show Source):
You can put this solution on YOUR website!

This is your equation in slope_intercept form: y=3x+-16
In standard form it will be: +-3x+%2B+y=+-16

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)

Your graph:

%0D%0A++drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++++graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+3%2Ax%2B-16+%29%2C%0D%0A++++red%28+locate%28+6%2C+2%2C+%276%2C+2%27+%29%2C+circle%28+6%2C+2%2C+0.15+%29+%29%2C%0D%0A++++green%28+locate%28+8%2C+8%2C+%278%2C+8%27+%29%2C+circle%28+8%2C+8%2C+0.15+%29+%29%0D%0A++%29%0D%0A++