SOLUTION: write an equation in standard form using only integers for the line described. The line through (0,3), perpendicular to y= 3/2x + 2

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Question 1151896: write an equation in standard form using only integers for the line described.
The line through (0,3), perpendicular to y= 3/2x + 2
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the given line is +3%2F2+
The slope of any line perpendicular to
this line is +-2%2F3+
Use the general point slope formula
+%28+y+-+3+%29+%2F+%28+x+-+0+%29+=+-2%2F3+
+y+-+3+=+%28+-2%2F3+%29%2Ax+
+y+=+%28+-2%2F3%29%2Ax+%2B+3+

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
the line through (0,3),
perpendicular to y=+%283%2F2%29x+%2B+2
the line y=+3%2F2x+%2B+2 has a slope +%283%2F2%29 and perpendicular line will have a slope negative reciprocal which is -%282%2F3%29
since we know a slope and one point we will use point-slope formula:
y-y%5B1%5D=m%28x-x%5B1%5D%29.....plug in given values
y-3=-%282%2F3%29%28x-0%29
y-3=-%282%2F3%29x
y=-%282%2F3%29x%2B3=>your line