Question

Given an equation in slope/intercept form, Y = -3/4X - 1 write in standard form:

a 3x + 4y = 4
b 3x + 4y = -4
C С 3x - 4y = 4
d 3X - 4Y = -4​

Answer 1

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:

1. Multiply both sides of the equation by 4 to eliminate the fraction: 4Y = -3X - 4.
2. Next, add 3X to both sides to bring the terms involving variables to one side: 3X + 4Y = -4.
3. Now, we have the equation in standard form.

Looking at the options provided, the correct answer is b 3x + 4y = -4.