Case facts: Y=326.2x - 241.6
What is the standard form of the linear model?
The answer is: 1631x-5y= 1208
Please explain step by step how this is the answer.•Algebra - Steve, Wednesday, March 2, 2016 at 7:09pm
man, there are only about two steps:
y = 326.2x - 241.6
collect x and y stuff on the left:
326.2x - y = 241.6
now multiply by 5 to clear the decimal points:
1631x - 5y = 1208
***WHY DID YOU KNOW TO MULTIPLE BY 5?*****
ummh, notice that two of the terms has a single decimal place with that decimal being an even number
What happens when you multiply any even number by 5 ?
To convert the given equation from slope-intercept form (y = mx + b) to standard form (Ax + By = C), you need to eliminate the decimal points from the equation.
In this case, the equation is y = 326.2x - 241.6. To eliminate the decimal points, you can multiply every term in the equation by a suitable power of 10 that will shift the decimal points to the right.
Since the decimal is on the tenths place in 326.2, multiplying this term by 10 will move the decimal point one place to the right, resulting in 3262x. Similarly, multiplying the decimal term -241.6 by 10 will move the decimal point one place to the right, resulting in -2416.
Now, the equation becomes:
326.2x - y = -241.6
To further eliminate the decimal points, you can multiply the entire equation by 10 to again move the decimal points one place to the right:
10 * (326.2x - y) = 10 * (-241.6)
Which simplifies to:
3262x - 10y = -2416
Finally, to make the coefficient of y a positive number, you can multiply both sides of the equation by -1. This gives:
-1 * (3262x - 10y) = -1 * (-2416)
-3262x + 10y = 2416
So, the equation in its standard form is 1631x - 5y = 1208.