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.



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.