Question

PLEASE HELP A GIRL OUT !!!!!!! UwU

Explain how to write a linear equation from a word problem in the slope-intercept form. Explain in detail what words you are looking for in the problem. Use complete sentences. Must inlclude capital letters and punctuation where needed.

Answer 1

It depends on the problem, but here's an example.

Let's say you earn $20 an hour and you already have $100 in the bank. If you work x hours, then you'll have 20x additional dollars on top of the $100 you already have. So in total you have y = 20x+100 dollars

x = number of hours worked

y = total amount of money

This does not take into account taxes or other kinds of fees/deductions from your paycheck.

Comparing y = 20x+100 with y = mx+b, the slope is m = 20 and the y intercept is b = 100.

The slope tells us how fast the money increases (since it's the rate of change). In this case, slope = rise/run = 20/1 meaning that for each hour, the money goes up by $20.

The y intercept is the starting value which in this case is $100. If you worked x = 0 hours, then you'll still have that $100.