Final answer:
To write y = 4x - 18 in standard form, subtract 4x from both sides to get -4x + y = -18, then multiply through by -1 to get 4x - y = 18.
Step-by-step explanation:
To convert the equation y = 4x - 18 to standard form, we want the equation to be in the form of Ax + By = C, where A, B, and C are integers, and A is non-negative.
Starting with y = 4x - 18:
- Subtract 4x from both sides to get -4x + y = -18.
- If necessary, multiply through by -1 to ensure the coefficient of x is positive. Since -4 is negative, we multiply each term by -1 to get 4x - y = 18, which is now in standard form.
This shows how to express equations graphically by converting them into standard form, making it easier to compare the slope and y-intercept with other linear equations expressed as y = mx + b.