Question

PLEASE HELP!!!!

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.

Answer 1

You are given the equation 2x+3y=1200, so all you want to do is solve for y in this equation to get it into the form y=mx+b. So you would do...
2x+3y=1200
3y=-2x+1200
(3/3)y= (-2/3)x+(1200/3)
y=(-2/3)x+400

Now you can probably recognize that y=(-2/3)x+400 is in y=mx+b form.

So the slope of y=mx+b is the m value, and the y-intercept is the b value.
Therefore the slope of this equation is -2/3 and the y-intercept is 400.

I hope this helps!

Answer 2

THANK YOU!!!! :)

Answer 3

yw