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

I guess slope-intercept form is y = kx + m for some constants k, m, because k is slope and m is y-intercept.

anonymous · Answer

You need to get rid of everything that has to do with x on the left-hand side, so subtract 2x from both sides to get a new equation which is equivalent to the original.

anonymous · Answer

You then have only 3y at the left-hand side. Get rid of the coefficient of y by dividing both sides by 3. This gives you the final equation y = -2x/3 + 400.

texaschic101 · Answer

actually, slope intercept is y = mx + b, and m is your slope and b is your y intercept.
But you are doing it correctly and I will let you finish :)

anonymous · Answer

As for showing all of your work, I like to put what I do next on the right of equations, like so:
$$2x + 3y = 1200 \text{ [subtract 2x]}\ 3y = -2x + 1200 \text{ [divide by 3]}\ y = -\frac{2}{3}x + 400$$