Determine whether the equation 9x + y = 12 is linear. If so, graph the function.

If a function is non-linear, there must be an exponent in the equation. For example,   or  .

Since this function has no exponent attached to the x-variable, we can assume this function is linear.

Based on the on the equation given: 9x + y = 12

The y-intercept will be 12.

To determine the x-intercept, we set y equal to zero and solve for x.

9x + 0 = 12

9x = 12 ⇒ divide both sides by 9

x = 1.333

Therfore, the x-intercept will be 1.33

x = 0.5

Step-by-step explanation:

48/4 = 6/x

Multiply 4 x 6

4 x 6 = 24

Divide 24 by 48

24/48 = 0.5