Question

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● Suppose Sal’s total profit on lunch specials for next month is $1596. The profit amounts are the same: $3 for each sandwich and $4 for each wrap. Fill in the empty boxes above with the correct information.
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Answer 1

Slope:
`-(3)/(4)`

Y-intercept: 399

Slope-intercept form:
`y=-(3)/(4)x+399`

Explanation:

1. The equation in Standard form is given in the problem:

`3y+4y=1596`

2. Then, to write the equation of the line in slope-intercept form
`y=mx+b`, where m is the slope and b is the y-intercept, you must solve for y as you can see below:

`4y=-3x+1596\\y=(-3x+1596)/(4)\\y=-(3)/(4)x+399`

3. Therefore, the slope and the y-intercept are:

`m=-(3)/(4)\\b=399`