Question

Write the equation y = (1/2)x - 8 into standard form.

Answer 1

To convert y = (1/2)x - 8 to standard form, multiply both sides by 2, then subtract x from both sides, and multiply by -1 to get x - 2y = 16.

Step-by-step explanation:

To write the equation y = (1/2)x - 8 into standard form for a linear equation, we want to get it into the form Ax + By = C, where A, B, and C are integers, and A is positive. Here’s how we do it step by step:

1. Multiply both sides by 2 to eliminate the fraction: 2y = x - 16.
2. Move the x-term to the left side by subtracting x from both sides: -x + 2y = -16.
3. To make the x-coefficient positive, multiply the entire equation by -1: x - 2y = 16. Now, the equation is in standard form.

The value of A in this case is 1, B is -2, and C is 16, meeting all requirements for standard form.