Final answer:
The given equation Y = -3/4X - 1 is converted to standard form by multiplying by 4 and rearranging to get 3X + 4Y = -4, which matches option b 3x + 4y = -4.
Step-by-step explanation:
To convert the given equation in slope/intercept form, Y = -3/4X - 1, to standard form, we need to rearrange the equation so that it takes the form Ax + By = C, where A, B, and C are integers, and A should be positive if possible. Here are the steps to do this:
- Multiply both sides of the equation by 4 to eliminate the fraction: 4Y = -3X - 4.
- Next, add 3X to both sides to bring the terms involving variables to one side: 3X + 4Y = -4.
- Now, we have the equation in standard form.
Looking at the options provided, the correct answer is b 3x + 4y = -4.