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77julia77 [94]
2 years ago
12

How do I convert standard form to point slope

Mathematics
1 answer:
Fittoniya [83]2 years ago
8 0

The point-slope form:

y-y_1=m(x-x_1)

(x_1,\ y_1) - given point

m - given slope

The standard form:

Ax+By=C


y-y_1=m(x-x_1)    <em>use distributive property</em>

y-y_1=mx-mx_1      <em>add y_1 to both sides</em>

y=mx-mx_1+y_1      <em>subtract mx from both sides</em>

-mx+y=-mx_1+y_1       <em>change the signs</em>

mx-y=mx_1-y_1

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IgorLugansk [536]
What do you mean? Please message me the question and I will gladly help
4 0
3 years ago
The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and
Murljashka [212]

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

                             Price without Discount Card   Price with Discount Card

Ticket (12 & Under)        $10                                             $8

Adult's Ticket                  $15                                           $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = x(15 \times 2+ 10)=40x

Price with discount for x visits =57+ x(12 \times 2+ 8)=57+32x

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

8 0
3 years ago
There are 220 female students and 360 male students that are enrolled at west middle school. The number of teachers employed by
Nimfa-mama [501]
Adding 220 + 360 = 580 total students.
5% of 580
(5/100)*580 = 29
29 teachers are employed
8 0
3 years ago
4x:3 = 6:5 calculate the value of x
My name is Ann [436]

Answer:

-2

Step-by-step explanation:

4x:3=6:5.

4x/3=6/5

4x × 5=6×3

20 X=18

X=18-20

X=-2

4 0
1 year ago
8x+3y=4 <br> -7x+5y=-34 <br><br> Elimination using multiplication
irga5000 [103]

Answer:

x= 2    and y = -4

Step-by-step explanation:

8x + 3y = 4 ---------------------------------(1)

-7x + 5y = -34 -----------------------------(2)

Multiply through equation (1) by 5 and multiply through equation(2) by 3

40x + 15y = 20 ----------------------------(3)

-21x + 15y =-102----------------------------(4)

Subtract equation (4) from equation (3)

61x = 122

Divide both-side of the equation by 61

61x/61 = 122/61

(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)

x = 122/61

x=2

Substitute x= 2 into equation (1)

8x + 3y = 4

8(2) + 3y = 4

16 + 3y = 4

Subtract 16 from both-side of the equation

16-16 + 3y = 4-16

3y = -12

Divide both-side of the equation by 3

3y/3 = -12/3

y = -4

x= 2    and y = -4

4 0
3 years ago
Read 2 more answers
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