SOLUTION: I am having a hard time answering a slope question. The coordinates (2,3) and (8,8) are given. I have found that the slope of the coordinates is 5/6 using y=mx+b I am unsure how

Algebra ->  Graphs -> SOLUTION: I am having a hard time answering a slope question. The coordinates (2,3) and (8,8) are given. I have found that the slope of the coordinates is 5/6 using y=mx+b I am unsure how       Log On


   



Question 943990: I am having a hard time answering a slope question. The coordinates (2,3) and (8,8) are given.
I have found that the slope of the coordinates is 5/6 using y=mx+b
I am unsure how to put that into standard form or determining the slope-intercept form

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I am having a hard time answering a slope question. The coordinates (2,3) and (8,8) are given.
I have found that the slope of the coordinates is 5/6 using y=mx+b
I am unsure how to put that into standard form or determining the slope-intercept form
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The slope is 5/6
Use slope m = diffy/diffx = 5/6
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It's the slope of the line thru the points, not the slope of the coordinates, tho.
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Use the slope and either point to find an equation:
y - y1 = m*(x - x1) where (x1,y1) is one of the points.
y - 3 = (5/6)*(x - 2)
Multiply by 6 to eliminate the fraction.
6y - 18 = 5x - 10
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5x - 6y = -8 (Standard form)
y = (5/6)x + 4/3 (slope-intercept form)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point-slope formula:
+%28+y+-+3+%29+%2F+%28+x+-+2+%29+=+%28+8+-+3+%29+%2F+%28+8+-+2+%29+
+%28+y+-+3+%29+%2F+%28+x+-+2+%29+=+5%2F6+
Multiply both sides by +6%2A%28+x+-+2+%29+
+6%2A%28+y+-+3+%29+=+5%2A%28+x+-+2+%29+
+6y+-+18+=+5x+-+10+
+6y+=+5x+%2B+8+
+y+=+%28+5%2F6+%29%2Ax+%2B+4%2F3+
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check:
(2,3)
+3+=+%28+5%2F6+%29%2A2+%2B+4%2F3+
+18+=+10+%2B+8+
+18+=+18+
and
( 8,8 )
+8+=+%28+5%2F6+%29%2A8+%2B+4%2F3+
+48+=+40+%2B+8+
+48+=+48+
OK
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The standard form is:
+6y+-+18+=+5x+-+10+
+5x+-+6y+=+-8+
( you can check it )