SOLUTION: Write an equation through the points (7,-2) and (-6,6). Thank You!

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Question 750423: Write an equation through the points (7,-2) and (-6,6). Thank You!
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Find the equation of line going through 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) = (7, -2) and (x2, y2) = (-6, 6).
Slope a is .
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -0.615384615384615%2A7+%2Bb+=+2.30769230769231. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2--0.615384615384615%2A7+=+2.30769230769231.

y=(-0.615384615384615)x + (2.30769230769231)

Your graph:

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(7,-2) and (-6,6)
Use the general point-slope formula
+%28+y+-+6+%29+%2F+%28+x+-%28-6+%29%29+=+%28+-2+-+6+%29+%2F+%28+7+-%28-6%29%29+
+%28+y+-+6+%29+%2F+%28+x+%2B+6+%29+=+-8+%2F+13+
Multiply both sides by +13%2A%28+x%2B6+%29+
+13%2A%28+y+-+6+%29+=+-8%2A%28+x+%2B+6+%29+
+13y+-+78+=+-8x+-+48+
+13y+=+-8x+%2B+30+
+y+=+%28-8%2F13%29%2Ax+%2B+30%2F13+
------------------------
check answer:
( 7,-2)
+y+=+%28-8%2F13%29%2Ax+%2B+30%2F13+
+-2+=+%28-8%2F13%29%2A7+%2B+30%2F13+
+-26+=+-56+%2B+30+
+-26+=+-26+
You can check other point