SOLUTION: give the equation of this line in point slope intercept form, slope 2/3 passes threw (-2,-6)

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Question 1048855: give the equation of this line in point slope intercept form, slope 2/3 passes threw (-2,-6)
Found 3 solutions by josgarithmetic, MathLover1, josmiceli:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
WHICH form do you mean? Point-slope OR Slope-Intercept?

The given data easily will fit into Point-Slope form, as y-k=m%28x-h%29 for a given slope m and given included point (h,k).

You can adjust into slope-intercept form if you want.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

it goes through point (-2, -6)
it has a slope of 2%2F3
the formula for the equation is:
y=ax%2B%28y%5B1%5D-ax%5B1%5D%29 where a is a slope and x%5B1%5D and y%5B1%5D coordinates of given point
y=%282%2F3%29x%2B%28-6-%282%2F3%29%28-2%29%29
y=%282%2F3%29x%2B%28-6-%28-4%2F3%29%29
y=%282%2F3%29x%2B%28-18%2F3%2B4%2F3%29
y=%282%2F3%29x-14%2F3






Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point-slope formula
+%28+y+-+%28-6%29+%29+%2F+%28+x+-%28-2%29+%29+=+2%2F3+
+%28+y+%2B+6+%29+%2F+%28+x+%2B+2+%29+=+2%2F3+
Multiply both sides by +3%2A%28+x+%2B+2+%29+
+3%2A%28+y+%2B+6+%29+=+2%2A%28+x+%2B+2+%29+
+3y+%2B+18+=+2x+%2B+4+
+3y+=+2x+-+14+
+y+=+%282%2F3%29%2Ax+-+14%2F3+
-------------------------
check: does it go through ( -2,-6 ) ?
+-6+=+%282%2F3%29%2A%28-2%29+-+14%2F3+
+-18+=+-4+-+14+
+-18+=+-18+
OK