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Bess [88]
4 years ago
15

Write the equation of a line in slope- intercept form passing through these two points (-1,-2) and (1,4)

Mathematics
2 answers:
elena-s [515]4 years ago
6 0

Answer:

    y = 3x + 1

Step-by-step explanation:

(x₁, y₁) = (-1, -2)   & (x₂ , y₂) = (1, 4)

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

        = \frac{4-[-2]}{1-[-1]}\\\\= \frac{4+2}{1+1}\\\\= \frac{6}{2}\\\\= 3

m = 3

y -y₁ = m(x - x₁)

y - [-2] = 3(x - [-1])

y + 2 = 3(x +1)

y + 2 = 3x + 3

      y = 3x + 3 -2

      y = 3x + 1

Burka [1]4 years ago
3 0

Answer:

y=3x+1

Step-by-step explanation:

4--2=6

1--1=2

6/2=3

slope is 3

4=3(1)+b

4=3+b

4-3=3-3+b

1=b

1 is the y intercept

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Answer:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

1. $120  = Pay as you go

2. $90 = Regular Deal

3. $100 = All in one price.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

Step-by-step explanation:

This question is incomplete and lacks essential data, I have found a similar question and I am putting data below to complete this question and will try to solve this.

Question Complete: Carlo wants to join the gym. The gym offers three membership options

1.Pay as you go = Pay only $6 each time you work out

2.Regular deal = Pay $50 a month and $2 each time you work out

2.All in one price = Pay one time $100 per month for unlimited use of our great facilities.

Carlo thinks he will go to the gym about 20 times a month.

Calculate how much each of these options would cost Carlo for one month.

Solution:

Option 1. Pay as you go:

Each time gym fee = $6

Carlo thinks he will go to gym 20 times a month

So,

Cost for option 1 = $6 x 20 = $120

Option 2. Regular deal:

$50 a month + $2 each time

So, Carlo thinks he will go to gym 20 times a month

Cost for option 2 = $50 + 20x(2$) = $90

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Option 3. All in one price:  

Fee = one time $100 per month.

Cost for option 3 = $100 per month

Because there is not any each time visit fee in this option, so whether Carlo go to gym 20 times or 30 times a day. he will be charged a fixed fee of $100 a month.

For Carlo, regular deal is the best option to choose because he goes to gym 20 times and it is least expensive.

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