Question

Draw the graph of y = 3x + 2 and y = 3x – 1 using the same pair of axes. Are these two lines parallel?

Answer 1

EXPLANATION.

Draw Graph of the equation.

⇒ y = 3x + 2. - - - - - (1).

⇒ y = 3x - 1. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ y = 3x + 2. - - - - - (1).

Put the values of x = 0 in the equation, we get.

⇒ y = 3(0) + 2.

⇒ y = 2.

Their Co-ordinates = (0,2).

Put the values of y = 0 in the equation, we get.

⇒ (0) = 3x + 2.

⇒ 3x = - 2.

⇒ x = - 2/3.

⇒ x = - 0.66.

Their Co-ordinates = (-0.66,0).

From equation (2), we get.

⇒ y = 3x - 1. - - - - - (2).

Put the values of x = 0 in the equation, we get.

⇒ y = 3(0) - 1.

⇒ y = - 1.

Their Co-ordinates = (0,-1).

Put the values of y = 0 in the equation, we get.

⇒ (0) = 3x - 1.

⇒ 3x = 1.

⇒ x = 1/3.

⇒ x = 0.33.

Their Co-ordinates = (0.33,0).

Both lines are parallel to each other and never intersects each other.

Answer 2

$\large \dag$ Question :-

Draw the graph of

$\sf\tt\large{\red {\underline {\underline{\;y \;= \;3x \;+ \;2:}}}}$

$\sf\tt\large{\red {\underline {\underline{\;y \;= \;3x - \;1:}}}}$

using sample pair of axes.Are these two lines are parallel.

$\large \dag$ Answer :-

$\sf\tt\large{\blue {\underline {\underline{⚘\;The \;are \;are \;in \;parallel \;but \;it \;cannot \;intersect \;at \;each \;other :}}}}$

$\large \dag$ Solutions :-

Hey mate,

First let take all the given data in the question.

According to the question,First we should take ,The equation (1) and get the coordinates points .

That is ,

$\sf\tt\large{\red {\underline {\underline{\;y \;= \;3x \;+ \;2:}}}}$

Here by putting x=0 and y=0 in the equation to get the coordinates points.

Let,

First, putting x=0 in the equation we get

• y=3x+2
• y=3 (0)+2
• y=0+2
• y=2..

Therefore,

• Coordinates points is (0,2)

Now,

putting y = 0 in the equation we get,

• y=3x+2
• 0=3x+2
• -2=3x
• -2/3=x

Therefore,

Coordinates points is (-2/3,0). we can also write it as (0.66,0)

$\large \dag$ Next :-

$\sf\tt\large{\red {\underline {\underline{\;y \;= \;3x \;-1:}}}}$

Hereby putting x=0 and y=0 in the equation .

First putting, x=0

• y=3x-1
• y=3 (0)-1
• y=0-1
• y=-1.

Coordinates points is (0,-1).

Next,

Putting y=0 in the equation we get that,

• y=3x-1
• 0=3x-1
• +1=3x
• 1/3=x..

Therefore, Coordinates points is (1/3,0)

we can also write it as (0.33,0)

Hence,

The given two equation lines are parallel to each other. And one thing you should know that,Here it is cannot interest each other.

Hope it helps u mate .

Thank you .