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
scZoUnD [109]
3 years ago
9

Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (

2,5)?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2

Thus, the line is of the form:

y = 2x + b

We substitute point (-4,5)and find "b":

5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13

Finally, the equation is:

y = 2x + 13

Answer:

y = 2x + 13

You might be interested in
Based off of the clues from the previous assignment and the suspect list, who do you believe is the criminal (their favorite num
Nonamiya [84]

Answer:

45

Step-by-step explanation:

8 0
3 years ago
Seven less than one-third a number is greater than six more than one-fourth the<br> number.
Zanzabum

Answer:

 

The number is 60

Step-by-step explanation:

6 0
2 years ago
At Polynomials Pizza, a large cheese pizza costs $6.50. Each additional topping for the pizza costs $1.45. The total for a large
dangina [55]

Answer:x

=

5

toppings

Step-by-step explanation:Total cost of cheese pizza:  

$

10.75

Any additional topping adds:  

+

$

1.25

So a cheese pizza with  

1

additional topping is:

$

10.75

+

$

1.25

=

$

12.00

A cheese pizza with  

2

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

=

$

10.75

+

2

×

$

1.25

=

$

13.25

A cheese pizza with  

3

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

+

$

1.25

$

10.75

+

3

×

$

1.25

=

$

14.50

If you pay attention to the pattern you can see that, for any number of toppings, say  

x

toppings, the price is going to be:

$

10.25

+

x

×

$

1.25

We are told the final cost is  

$

17.00

. That is

$

10.25

+

x

×

$

1.25

=

$

17.00

Subtract  

$

10.25

from both sides

$

10.25

−

$

10.25

+

x

×

$

1.25

=

$

17.00

−

$

10.25

x

×

$

1.25

=

$

6.25

Divide both sides by  

$

1.25

x

×

$

1.25

$

1.25

=

$

6.25

$

1.25

x

=

5

4 0
3 years ago
Read 2 more answers
Marlene earned $178 at her summer job. She already had savings of $98.25. She buys a T-shirt for $19.50. How much money does she
Stels [109]
$256.75
Add $178 + $98.25= $276.25
Then $276.25 - $19.50 = $256.75
7 0
2 years ago
Eight times a number plus five another number is -13. The sum of the two numbers is 1. What are the numbers?
Pani-rosa [81]
Eight *(a number) plus 5*(another number) is -13.

translates to:

8(x) + 5(y) = -13

The sum of (the number) and (the other number) is 1.

translates to:

(x) + (y) = 1


We have a system of two equations involving two unknowns: x and y.

\rm 8x+5y=-13\\&#10;~~x+~~y=~~~~1

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.

We'll multiply the second equation by -8 so that the x's match up.

\rm ~~~8x+5y=-13\\ -8x-8y=-8

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

\rm -3y=-21

Divide by -3,

\rm y=7

Plug back into one of your original equations to find the value of x,

\rm x+y=1\\&#10;x+7=1

Subtract 7,

\rm x=-6
8 0
3 years ago
Other questions:
  • Find the product of the first 3 positive integers and then the first 5 negative integers.
    8·1 answer
  • -4(v+2)+3v what’s the answer to this
    8·1 answer
  • A wildlife biologist in Alaska has found that the moose population has been declining at an average rate of 10.4% each year. In
    7·1 answer
  • What is the domain of
    12·2 answers
  • Help need please!!!
    8·2 answers
  • What is 2225 rounded to the nearest thousand? Hurry please
    14·1 answer
  • If you are asked to complete 5 sit-ups for every 9 push-ups you complete, answer each of the following questions:
    9·1 answer
  • A pair of linear equations is shown:
    13·1 answer
  • Help me photo is attached below pleaseeee I beg youuu
    13·2 answers
  • Gerald is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his: $2,000; $18,900;
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!