Chapter 5.5, Problem 22P

Write each equation in standard form using integers.

$y-4=5(x-8)$

To determine

To write: The provided equation in standard form.

Answer to Problem 22P

The equation is $5x-y=36$ .

Explanation of Solution

Given:

The equation is:

  $y-4=5\left(x-8\right)$

Concept used:

The standard form of the equation is:

  $\begin{array}{l}ax+by=c\\ a,b\text{ and }c\text{ are real numbers}\end{array}$

Calculation:

The provided equation could be simplified as:

  $\begin{array}{l}y-4=5\left(x-8\right)\\ y-4=5x-40\\ -5x+y=-36\\ 5x-y=36\end{array}$

Thus, the equation in standard form is: $5x-y=36$ .