Question

Choose the graph below that correctly represents the equation 3x + 9y = -18.

3x + 9y = -18
9y= -3x -18
y= -1/3x - 2

Answer 1

The given equation is 3x + 9y = -18. To correctly graph the equation, it would be helpful to write the equation in its slope-intercept form which is expressed as:

y = mx + b where m is the slope and b is the y value when x is 0 or the y-intercept.

3x + 9y = -18
9y= -3x -18 
y= -1/3x - 2

Therefore, the slope would be -1/3 and the y-intercept is -2. You use these data to graph the equation.

Answer 2

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$3x+9y=-18$

Isolate the variable y

$9y=-3x-18$

Divide by $9$ both sides

$y=-(1/3)x-2$

The slope of the line is negative  $m=-\frac{1}{3}$

The y-intercept is equal to the point $(0,-2)$ (value of y when the value of x is equal to zero)

The x-intercept is equal to the point $(-6,0)$ (value of x when the value of y is equal to zero)

Plot the intercepts to graph the line

see the attached figure