Question

Y−4=4(x−1) in standard form

Answer 1

The standard form of the equation y-4=4(x-1) is 4x - y = 0. This was achieved by distributing the 4, rearranging terms, and ensuring that the coefficient of x is positive.

Step-by-step explanation:

To convert the equation y-4=4(x-1) into standard form, we begin by distributing the 4 on the right side of the equation through the parenthesis.

Standard form of a linear equation is usually expressed as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Let's distribute the 4:

• y - 4 = 4x - 4

Next, we need to get all the variables on one side and the constants on the other:

• y - 4x = -4 + 4
• y - 4x = 0 (since -4 + 4 = 0)

Now we have the equation in standard form:

-4x + y = 0

Typically, we write the x-term first and, if A is negative, we can multiply the entire equation by -1 to make it positive:

• 4x - y = 0