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.

Answer 1

How to solve the rest of
2x + 3y = 1200
2x-1200=-3y
1/3*(2x-1200)=1/3*-3y
2/3x-400=-y
-2/3x+400=y

Answer 2

@e.mccormick @E.ali @ehuman @agent0smith @UsArmy3947

Answer 3

What do you mean the rest? it looks like you're done.

Answer 4

oh ok...

Answer 5

For y = mx + b, m is the slope, b is the y intercept. They should be easy to identify now.

Answer 6

so the slope is .66 and the x is 400? what would the y be though?

Answer 7

no y would be 400?

Answer 8

@agent0smith please come back!

Answer 9

I just did this assignment yesterday. What you have so far is, if put into y = mx + b form:
y = -2/3x + 400
If b = 400, and b is the y-intercept, then your y-intercept should be at the ordered pair (0,400) and your slope is -2/3. Is that what you were confused about?

Answer 10

so i have no x?

Answer 11

For this question, you don't necessarily need to solve for x, it is only asking you to "identify the slope and y-intercept of the equation"

Answer 12

For y = mx + b, m is the slope, b is the y intercept.

That's all you're asked for.

Answer 13

You only have to say that slope m = -2/3 and y-intercept b = 400, I promise :3

Answer 14

I trust you!