Write the equation y - 2 = 4(x + 5) in standard form
standard form is y=mx+b so you would have to distribute 4 into x+5 then add 2 to both sides to get the equation equal to y.
To write the equation y - 2 = 4(x + 5) in standard form, we need to expand the equation and simplify it.
First, let's distribute the 4 to both terms within the parentheses:
y - 2 = 4x + 20
Next, let's move all the variables to one side and the constants to the other side of the equation. To do this, let's subtract 4x from both sides:
y - 4x - 2 = 20
Now, let's move the constant term (-2) to the right side by adding 2 to both sides:
y - 4x = 22
Lastly, let's rearrange the terms of the equation in descending order of the variables. This means placing the term with the highest-degree variable (y) first, followed by the term with the next-highest-degree variable (-4x), and finally, the constant term (22):
-4x + y = 22
Therefore, the equation y - 2 = 4(x + 5) in standard form is -4x + y = 22.