What is the slope of a this perpendicular line 0=-15-7x+3y? Explain?

1 answer:

7 0

Put it into slope intercept form y=mx+b where m is slope

0=-15-7x+3y
subtract 3y from both sides
-3y=-7x-15
multiply both sides by -1
3y=7x+15
divide both sdies by 3
y=7/3x+5
slope is 7/3

to find a line perpendicular to it, the slope of the other line, when multiplied by this line, must equal -1, exg
1/2 and -2/1 are perpenicular
-1 and 1 are perpendicular

therefor the line perpendicular to it has a slope of -3/7, exg y=-3/7+3

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Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art

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Answer:

1. $C=21x.$

2. $C=(8x+104).$

Step-by-step explanation:

Let the number of people in the group be x. Denote the total cost as C.

1. If the regular cost is $21 per person, then the total regular cost for x people is $C=21x.$

2. If the special cost is $8 per person, then the total special cost for x people is $\$8x.$ There is an additional $104 fee for a private room, thus the total special cost is $C=(8x+104).$