Question

Graph the linear equation.

2x+6y=−6

Answer 1

(see the graph in the attachment for the equation
`2x+6y=-6`)

Answer 2

ANSWER

See graph in the attachment.



Step-by-step explanation

The given linear equation is


`2x + 6y = - 6`



To graph this equation, we need at least two points.


Let us use the intercepts to graph this line.


At y-intercept, x=0,

This implies that,


`2(0) + 6x = - 6`


`6y = - 6`


`y = - 1`



We plot the point,


`(0,-1)`

At x-intercept, y=0,


This implies that,


`2x + 6(0)= - 6`



`2x = - 6`
Divide both sides by 2 to get,


`x = - 3`
We plot the point



`(-3,0)`
Using a straight edged we can now draw a straight line through the points to obtain the graph in the attachment.