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svetoff [14.1K]
3 years ago
9

The line y=-1/3x+4 passes through which of the following points

Mathematics
2 answers:
e-lub [12.9K]3 years ago
5 0

Answer:

The line passes through the points ( 0 , 4 ) and ( 12 , 0 )

Step-by-step explanation:

Given equation of line as :

y = - \frac{1}{3} x + 4

Let the points through which the line passes are

( x_1 , y_1 ) , ( x_2 , y_2 )

Now, for x = 0 , The line equation is y = - \frac{1}{3} × 0 + 4

I.e for x = 0 , y = 0 + 4 = 4

So,  ( x_1 , y_1 ) = ( 0 , 4 )

Again , for y = 0 , The line equation is 0 = - \frac{1}{3} × x + 4

I.e  for y = 0 , The line equation is 4 = \frac{x}{3}

Or, for y = 0 , x = 4 × 3 = 12

So , ( x_2 , y_2 ) = ( 12 , 0 )

Hence The line passes through the points ( 0 , 4 ) and ( 12 , 0 )  Answer

vazorg [7]3 years ago
4 0

Answer:

<em>The points are (12, 0) & (0, 4).</em>

Step-by-step explanation:

The given equation of line is-

    y =  -\frac{1}{3} x + 4...............................(i)

<em>After taking L.C.M. both sides (i.e. Multiplying  by 3 both sides)-</em>

   3 y = -x + 12.................................(ii)

<em>  Let x = 0 in equation (ii)-</em>

<em>      </em>3 y = 12

       y = 4

<em>Hence first point is ( 0, 4).</em>

<em>Now, let y = 0 in equation (ii)-</em>

    0 = - x + 12

    -12 = - x

     x = 12

therefore the points are ( 12, 0).

Hence the required points which passes through the line <em>y = -1/3 x +4</em> are <em>(0, 4) & ( 12, 0)</em>.

<em></em>

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