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.

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

anonymous · Answer

2x + 3y = 1200
3y = 1200 - 2x

y = (1200 - 2x)/3

Slope = -2/3 and the y-intercept is 1200/3 = 400.