The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
