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allochka39001 [22]
3 years ago
6

Graph: y – 3 = 1/2 (x + 2)

Mathematics
2 answers:
Anit [1.1K]3 years ago
7 0

Answer: See below

Concept:

There are different forms of linear equations:

  • Slope-intercept form: y = mx + b
  • Point-slope form: y - y₁ = m (x - x₁)
  • Standard form: Ax + By = C
  • Intercept form: x / x₁ + y / y₁ = 1

Solve:

Given: y - 3 = 1/2 (x + 2)

Here, we can see the linear equation is in the form of point-slope form.

x₁ = -2

y₁ = 3

m = 1/2

Point included in the graph = (-2, 3)

Slope of the graph = 1/2

Hope this helps!! :)

Please let me know if you have any questions

JulijaS [17]3 years ago
4 0

Answer:

The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.

Step-by-step explanation:

The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.

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djverab [1.8K]

Answer:

this equation means that if your multiple the amount of days by -63 and add 825 you'll get the amount of cans

can substitute 10 in as x so

-63(10)+825

-630+825

195

so the soup kitchen will have 195 cans after 10 days

3 0
3 years ago
I have 3 times as many nickels as quarters. How many quarters do I have if I have
Nostrana [21]

Answer:

18 Nickels, 6 Quarters

Step-by-step explanation:

For this problem, let's build a system of equations to find the number of nickels and dimes you have.  Let N represent the number of nickels and Q represent the number of quarters you have.

The first equation, you have 3 times as many nickels as quarters:

N = 3Q

The second equation, you have a total of $2.40.  Given we know nickels are $0.05 and quarters are $0.25:

0.05N + 0.25Q = 2.40

Now, let's use the two equations to find the number nickels and quarters you have.

N = 3Q

0.05N + 0.25Q = 2.40

0.05(3Q) + 0.25Q = 2.40

0.15Q + 0.25Q = 2.40

0.4Q = 2.40

Q = 6

Now, let's plug the value back into the equation:

N = 3Q

N = 3(6)

N = 18

And we can verify these values with the second equation:

0.05N + 0.25Q = 2.40

0.05(18) + 0.25(6) ?= 2.40

0.90 + 1.50 ?= 2.40

2.40 == 2.40

Therefore, we have found and verified the amount of Nickels and Quarters you have.

Cheers.

7 0
3 years ago
What is "a number on its own, it has a fixed value?"
icang [17]
I belive it is a constant
5 0
2 years ago
The quotient of a number and three
Tanzania [10]

Answer:

a.  x/3.

Step-by-step explanation:

You divide to find a quotient so it is x / 3.

5 0
3 years ago
What’s the slope intercept form of (2,5) and (0,1)
Travka [436]

Answer:

y=2x+1

Step-by-step explanation:

First you have to find the slope:

5-1/2 so 4/2 or 2

Then you write it in point-slope: (I used the point (0,1))

y-1=2x

Simplify than:

y=2x+1

8 0
3 years ago
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