Question

if the linear equation y=4-3x and 2y+bx+9=0 represent the same line​

Answer 1

Step-by-step explanation:

Let the rectangle be ABCD

The equation of the consecutive sides are given as,

AB→y=4−3x i.e. m

AB

=−3

BC→ay=x+10 i.e. m

BC

=

a

1

and

CD→2y+bx+9=0 i.e. m

CD

=−

2

b

Now, AB∥CD and BC⊥AB

∴m

AB

=m

CD

⇒−3=−

2

b

⇒b=6

m

AB

×m

BC

=−1

⇒−3×

a

1

=−1

⇒a=3

⇒ab=6×3=18