Brenda D. answered • 05/30/19

Math's a tool not a terror

You have two sets of coordinates and can use the formula below to find the slope m

m = (y_{2} - y_{1})/(x_{2} - x_{1})

(x_{1}, y_{1}) = (100,000, 3,750)

(x_{2}, y_{2}) = (200,000, 5,750)

m =.02 or 1/50 this is 2%

You can use the slope intercept form and a set of the coordinates to calculate b. I used the coordinates for January below.

y = mx + b

3750 = .02(100000) + b

3750 =2000 + b

Subtract 2000 from both sides of the equation to get b

3750 - 2000 = b

1750 = b

y = .02(x) + 1750

The commission rate is 2% and the monthly salary is $1,750

You can check by plugging x from the second set of coordinates, the ones for February, into the slope intercept form above to see if it gives the y value

y = .02(200,000) + 1750

y = 4000 + 1750

y = 5750

I hope you find this useful if you have any questions please send me a message.