Question

Graph the linear equation. 4x+6y= -12

Answer 1

The points are
`( x_1 , y_1 )` = ( 0 , - 2 ) and
`( x_2 , y_2 )` = ( - 3 , 0 )

These points is plotted on the x-y graph

Explanation:

Given linear equation as :

4 x + 6 y = - 12

now, Let the points for the equation be

`( x_1 , y_1 )` and
`( x_2 , y_2 )`

Now, From equation

For, x = 0

4 × 0 + 6 × y = - 12

Or, 0 + 6 × y = - 12

∴ y =
`(-12)/(6)`

I.e y = - 2

So,
`( x_1 , y_1 )` = ( 0 , - 2 )

Again

For, y = 0

4 × x + 6 × 0 = - 12

Or, 4 × x + 0 = - 12

∴ x =
`(-12)/(4)`

I.e x = - 3

So,
`( x_2 , y_2 )` = ( - 3 , 0 )

So, The points are
`( x_1 , y_1 )` = ( 0 , - 2 ) and
`( x_2 , y_2 )` = ( - 3 , 0 )

Now, These points is plotted on the x-y graph Answer