Graph the equation.

1/3 = 3(x+ 4)

1 answer

To graph the equation 1/3 = 3(x+ 4), we need to rearrange it into the standard form y = mx + b, where m is the slope and b is the y-intercept.

Start by distributing 3 to (x + 4):

1/3 = 3x + 12

Now, isolate x by subtracting 12 from both sides:

1/3 - 12 = 3x

-35/3 = 3x

Divide both sides by 3:

-35/9 = x

The equation is now in the form y = mx + b, so the slope is 0 and the y-intercept is -35/9.

The graph will be a straight line parallel to the x-axis and passing through the point (0, -35/9).