Question

the slopes of the two lines are 7 and (3k+2).If the two lines are parallel,find the value of k.​

Answer 1

SOLUTION

GIVEN

• The slopes of the two lines are 7 and (3k+2)

• The two lines are parallel

TO DETERMINE

The value of k

EVALUATION

Here it is given that slopes of the two lines are 7 and (3k+2)

It is also stated that the two lines are parallel

Since the slopes of two parallel lines are equal

$\sf{3k + 2 = 7}$

$\sf{ \implies \: 3k = 7 - 2}$

$\sf{ \implies \: 3k = 5}$

$\displaystyle \sf{ \implies \: k = \frac{5}{3} }$

FINAL ANSWER

The required value is

$\displaystyle \sf{\: k = \frac{5}{3} }$

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