A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2, and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.

1. Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.

Question

A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2, and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.

1.	Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.

directrix · Answer

Slope-intercept form looks like this --> y = m*x + b where m is the slope of the line and b is the y-intercept.

directrix · Answer

2x + 3y = 1,200 

Subtract 2x from both sides.

 2x + 3y = 1,200 

 -2x              -2x
-----------------
     3y = -2x + 1200

directrix · Answer

Multiply both sides by (1/3) which is the same operation as dividing by 3.

anonymous · Answer

thank you

directrix · Answer

We're not finished.

directrix · Answer

y = -2x + 1200

 y = (-2/3)x + 400

 @autinregister Name the slope and the y-intercept, okay?

anonymous · Answer

the slope would be (-2/3) and the y-intercept would be 400

directrix · Answer

Yes. We say the y-intercept is 400. Its ordered pair would be (0,400).

anonymous · Answer

Thank you