# What is v ?If lines P and Q are parallel ; the slope of P is 5 and the slope of Q is 10/v.

Asked on by abigaile

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to use the equation that relates the slopes of parallel lines, such that:

`m_1 = m_2`

`m_1` represents the slope of P

`m_2` represents the slope of Q

The problem provides the slopes of P and Q, such that:

`5 = 10/v`

You need to perform cross multiplication, such that:

`10*1 = 5*v => v = 10/5 => v = 2`

Hence, evaluating v, under the given conditions, yields that v is 2.

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

If 2 lines are parallel, the values of their slopes are equal.

If the slope of P is mP = 5, then the slope of Q is mQ = 5 also.

We know, from enunciation, that the slope of Q is the ratio 10/v.

We'll put equal the following:

mQ = 5 (1)

mQ = 10/v (2)

(1) = (2)

5 = 10/v

We'll divide by 5 both sides:

5/5 = 10/5v

1 = 2/v

We'll multiply by v both sides:

v = 2

So, the value of v = 2 for the parallel lines P and Q, whose slopes are m = 5.