Question

find the slope of this line (2x+3y+4) + λ(6x-y+12) = 0​

Answer 1

Answer:

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Step-by-step explanation:

The two lines are

x(2+6k)+y(3−k)+4+12k=0 ......(1)

and 7x+5y−4=0 ......(2)

Let m

1

and m

2

be the slopes of 1 and 2 respectively. Then,

m

1

=−

3−k

2+6k

,m

2

=−

5

7

If lines 1 and 2 are perpendicular. Then,

m

1

m

2

=−1

(−

3−k

2+6k

)(−

5

7

)=−1

14+42k=−15+5k

k=−

37

29