Question

Determine if the equation represents y as a function of x.
2x + 3y=4

Answer 1

The equation 2x + 3y = 4, when rearranged, represents y as a function of x, demonstrated by the form y = (4/3) - (2/3)x.

Step-by-step explanation:

The equation 2x + 3y = 4 can be rearranged to solve for y in terms of x, which is necessary to determine if y is a function of x. Following the steps to isolate y, we have:

Now, y is expressed as y = (4/3) - (2/3)x, which is in the form y = mx + b. Hence, y is indeed a function of x because for each value of x, there is one and only one corresponding value of y.