1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allisa [31]
2 years ago
5

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Mathematics
1 answer:
Anna007 [38]2 years ago
6 0

Answer:

y=2x+3

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

y-y_1=m(x-x_1)

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

y-7=2(x-2)

Solve for y. Distribute the right:

y-7=2x-4

Add 7 to both sides. Hence, our equation is:

y=2x+3

You might be interested in
What is -104/30 as a mixed number???
dimaraw [331]

Answer:

mixed number

a number consisting of an integer and a proper fraction.

this only has a fraction so no it isnt

a mixed number!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
G<br> H<br> 2.5(JK)<br> 12<br> к<br> L<br> F<br> What is HL?
Alchen [17]
<h3>Answer:  21</h3>

=================================================================

Work Shown:

The diagram shows that JK = 12 and GF = 2.5*(JK) = 2.5*12 = 30

The midsegment HL will be the average of the two lengths it is parallel to.

We'll add up the values and then cut the result in half

HL = (JK+GF)/2

HL = (12+30)/2

HL = 42/2

HL = 21

3 0
3 years ago
Pls help I have no idea what I’m doing
olganol [36]

Answer:

1800

Step-by-step explanation:

61 around to 60 and 29 rounds to 30. so

60 ×30=1800

8 0
3 years ago
Help me!!11111111111111
zheka24 [161]
How to solve:

( x , y )

Plug the values in to the equation and solve

-3x+5y=2x+3y

(2,4) plugged in would be

-3(2)+5(4)=2(2)+3(4)

All you have to do is solve this and if the two sides are not equal(like 4=20), then it is not a solution. Just plug in (3,3) next.

Hope this helped!!!
3 0
2 years ago
1) Solve the following system of equations algebraically. Give your solution as two
Bad White [126]

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
Other questions:
  • Asap please help screenshot is question!!!!!!
    6·2 answers
  • Gcf of 56, 42 and 98
    11·1 answer
  • What is 269.50 divided by 14?
    9·1 answer
  • Two different types of cake are on sale at prices of $0.30 and $0.40 each. The cakes that are being sold for $0.30 cost $0.20 to
    5·1 answer
  • A circle passes through point (−2, −1) and its center is at (2, −1). Which equation represents the circle?
    11·1 answer
  • Bananas cost $0.49 per pound and grapes cost $1.15 per pound. Leanne bought 3.5 pounds of bananas and 2.4 pounds of grapes. How
    10·2 answers
  • En una fabrica se requiere hacer una encuesta a 50 trabajadores sobre su comida preferida . Si en total trabajan 360 mujeres y 2
    13·1 answer
  • Describe the relationship between complex and real numbers. Include a
    8·1 answer
  • 72 paper clips to 63 paper clips
    12·1 answer
  • An x-intercept is __________________________________________________________, (also called a __________),
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!