SOLUTION: What is an equation in slope intercept form that passes through the point (6,-3) with a slope of -5/6

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Question 1130061: What is an equation in slope intercept form that passes through the point (6,-3) with a slope of -5/6
Found 3 solutions by Edwin McCravy, MathLover1, josmiceli:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
y - y1 = m(x - x1)

Substitute (-3) for y1, the y-coordinate of (6,-3).
Substitute (-5/6) for m, the slope.
Substitute (6) for x1, the x-coordinate of (6,-3).
DO NOT SUBSTITUTE for x or y, but leave them as variables.
Solve for y.
Simplify.

Edwin

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equation in slope intercept form:
y=mx%2Bb where m is a slope and b is y-intercept

if line passes through the point (6,-3) and have a slope of -5%2F6, we have
-3=-%285%2F6%29%2A6%2Bb.........solve for b
-3=-%285%2Fcross%286%29%29%2Across%286%29%2Bb
-3=-5%2Bb
5-3=b
b=2
and your line is: y=-%285%2F6%29x%2B2





Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( 6,-3 ), +m+=+-5%2F6+
+%28+y+-%28-+3%29+%29+%2F+%28+x+-+6+%29+=+-5%2F6+
+%28+y+%2B+3+%29+%2F+%28+x+-+6+%29+=+-5%2F6+
Multiply both sides by +6%2A%28+x+-+6+%29+
+6%2A%28+y+%2B+3+%29+=+-5%2A%28+x+-+6+%29+
+6y+%2B+18+=+-5x+%2B+30+
+6y+=+-5x+%2B+12+
+y+=+%28-5%2F6%29%2Ax+%2B+2+
----------------------------
check:
(6,-3 )
+-3+=+%28-5%2F6%29%2A6+%2B+2+
+-3+=+-5+%2B+2+
+-3+=+-3+
OK