Question

Find the Coordinates of the points where 2x + 3y = 12 meets the X-axis and Y-axis​

Answer 1

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Various Forms of the Equation of a Line

The line 2x + 3y = 12 meets...

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The line 2x+3y=12 meets the x - axis at A and the y-axis at B . the line through (5,5) perpendicular to AB meets the x-axis, y-axis & the line AB at C,D,E respectively . if O is the origin , then the area of the OCEB is:

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ANSWER

2x+3y=12

6x+4y=1

Using point form,

A≡(6,0);B=(0,4)

also, slope of line AB=3−2

So, slope of perpendicular =m−1=2+3

So, equation will be,

y−5=23(x−5)3x−2y=553x−52y=1

Using point form, C≡(35,0);D≡(0,2−5)

and solving with 2x+3y=12, we get E≡(3,2).

So, O≡(0,0)C≡(35,0)E≡(3,