Question

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

Answer 1

Answer:

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

Step-by-step 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 = $\frac{-12}{6}$

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 = $\frac{-12}{4}$

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