Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b .
6x 12y 3 = 0
A) y = x +

Question

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b .
6x  12y  3 = 0
A) y = x +

Quizplus · Accepted Answer

To determine if the equation defines y as a linear function of x, we need to see if we can write it in the form y = mx + b.
Starting with the given equation: 6x + 12y + 3 = 0
We can isolate y by subtracting 6x and dividing by 12:
12y = -6x - 3
y = (-1/2)x - 1/4
Now the equation is in slope-intercept form with m = -1/2 and b = -1/4, so we can write:
y = (-1/2)x - 1/4
This is a linear function of x, so choice A is the best answer.

Determine Whether the Equation Defines Y as a Linear Function