Lines P and Q are parallel . The slope of P is 5 and the slope of Q is 10/v. What is v ?

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Let the slope of P be M1 = 5

Let the slope of Q be M2 = 10/v

Given that the lines P and Q are parallel.

Then we know that the slopes of two parallel lines are equal.

Then we conclude that:

Slope P = slope Q

==> M1 = M2

==> 5 = 10 / v

Now we will multiply by v:

==> 5*v = 10/v *v

==> 5v = 10

Now let us divide by 5:

==> v = 10/ 5 = 2

Then , V = 2

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We are given that lines P and Q are parallel. The slope of line P is 5 and the slope of line Q is 10/v. Now we have to find v.

Here we use the property that the slope of parallel lines is the same.

Therefore 5 = 10 / v

multiply both sides by v

=> 5v = 10

divide both sides by 5

=> v = 10/ 5 = 2

Therefore the required value of v is 2.

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

If the two lines are parallel, then the slopes of the two lines are same.

The slope the line P is 5.

Therefore the sope of the line Q is also 5.

The slope of the line Q is given  to be 10/v.

Therefore 10/v  shoul be equal to 5.

Therefore 10/v = 5. We solve  this equation for v to find the value of v:

10/v = 5.

Taking the reciprocal of both sides, we get:

v/10 = 1/5.

We multiply both sides by 10:

v = 10/5= 2.

Thereore the the value of  v = 2.

giorgiana1976's profile pic

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.

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