Question

9. Find the Coordinates of the points where 2x + 3y = 12 meets the X-axis and Y-axis.
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Answer 1

Step-by-step explanation:

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≡(3,2)B≡(0,4)

Ar(OCEB)=∣Ar(OCE)∣+∣Ar(OEB)∣

Ar(OCEB)=21×