Question

How do I write y = -4 + 4x in standard form?

a) 4x - y = -4
b) 4x + y = -4
c) y = 4x - 4
d) y = -4x - 4

Answer 1

The equation y = -4 + 4x is written in standard form as 4x - y = -4, which is option (a). The steps involve rearranging the equation and ensuring the coefficient of x is positive.

Step-by-step explanation:

To write the equation y = -4 + 4x in standard form, we need to rearrange it so that it fits the standard form Ax + By = C, where A, B, and C are integers, and A should be non-negative. Starting with the given equation:

• y = -4 + 4x

We can rewrite it as:

• y = 4x - 4

Then, to get it into standard form, we'll move the x-term to the left side of the equation:

• -4x + y = -4

However, we want A to be positive, so we multiply the entire equation by -1:

• 4x - y = 4

This gives us the standard form. Therefore, the correct answer is option (a) 4x - y = -4.