Kara Z. answered • 10/06/25
Master's in Chemical Engineering with 15+ Years Tutoring Experience
We can write the information given in the table as two points: (150 000 , 4750) and (250 000 , 5750)
Find the slope using the slope formula.
The slope formula is m = (y2 - y1) / (x2 - x1) so if we use the values we were given
m = (5750 -4750) / (250 000 - 150 000) = 100/100 000 = 1/1000
So our slope is 1/1000
Use the slope and one of the points to write the equation in point-slope form.
The point-slope form of a linear equation is y - y1 = m ( x - x1) where m is the slope and a point is (x1 , y1 ). We can use either point, but I'm going to choose the one with smaller numbers: (150 000, 4750). So when we plug into the formula, we have
y - 4750 = 1/1000 ( x - 150 000)
Rewrite your equation in slope-intercept form.
Slope-intercept form is y = mx + b, so first we can distribute on the right side of the equation.
y - 4750 = 1/1000 x -150
Add the 4750 to the right side so that y is isolated.
y = 1/1000 x + 4600
Write a sentence that gives your monthly salary and your percent commission.
The monthly salary will be the y intercept (the b value in our slope-intercept equation) and the percent commission will be the slope. Our slope is 1/1000 but that isn't a useful format for our answer so we can turn it into a decimal: 0.001. This is our commission, but in order to write it as a percent, we need to move the decimal point two places to the right so that we get 0.1%.
Conclusion
The monthly salary is $4600 and the percent commission is 0.1%.
