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
Vilka [71]
2 years ago
13

Find the equation of the line specified. The line passes through the points (-2, 3) and (-4, 7) a. y = -2x - 1 b. y = -2x + 3 c.

y = -4x - 1 d. y = -2x + 7 Please select the best answer from the choices provided A B C D. ​
Mathematics
1 answer:
Soloha48 [4]2 years ago
8 0

Answer:

Step-by-step explanation:

To do this we will first use the slope formula to find the slope of the line. Given 2 points, you can't do anything else BUT find the slope. Always start there. The slope formula is:

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

Plugging in our values from the points where y2 is 7, y1 is 3, x2 is -4 and x1 is -2:

m=\frac{7-3}{-4-(-2)}=\frac{7-3}{-4+2}=\frac{4}{-2}=-2

So the slope is -2. Now we will pick either point and use the x and y coordinates to fill in the point-slope form of a line, which is:

y-y_1=m(x-x_1)

where y1 and x1 are the coordinates from the point we pick, and m is the slope we just solved for. It doesn't matter which point you pick to use as your x and y coordinates; either one will give you the exact same equation...PROMISE!!

I chose (-2, 3), no reason in particular. x1 is -2 and y1 is 3:

y-3=-2(x-(-2)) which simplifies a bit to

y - 3 = -2(x + 2) and a bit more to

y - 3 = -2x - 4 and even more to

y = -2x - 4 + 3 and finally to our final line in slope-intercept form:

y = -2x - 1

Choice a.

You might be interested in
Jane wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 4.2% interest, compounded quarterly.
Sauron [17]

Answer:

she need to pay is $550.40

Step-by-step explanation:

given data

interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105

future value = $7000

time = 3 year = 3 × 4 = 12 months

to find out

How much money she need to pay

solution

we will apply here formula for future value for compound quarterly

that is

future value = principal × \frac{(1+r)^{t} -1 }{r}    .............1

put here all these value

future value = principal × \frac{(1+r)^{t} -1 }{r}

7000 = principal × \frac{(1+0.0105)^{12} -1 }{0.0105}

principal = 550.40

so she need to pay is $550.40

3 0
2 years ago
Evaluate the expression when x = 2, y = 5, and z = 4.
REY [17]

Answer:

9 is the correct answer

(2×2+1)=5÷5×9=9

8 0
2 years ago
Read 2 more answers
The planet Mercury measures 4,879 kilometers from one side to the other. Earth
nikklg [1K]
(12,756 kilometers) - (4,879 kilometers) = 7,877 kilometers
4 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!​
Artist 52 [7]

Answer:

1/8 or 0.125

Step-by-step explanation:

hope this helped

6 0
2 years ago
Read 2 more answers
Write an equation that has (2, -3) as a solution
xxTIMURxx [149]

Answer:

y=x-5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • I really need help!!!!
    13·1 answer
  • Two integers A and B have product of 24 what is the least possible sum of A and B
    8·2 answers
  • Which sets of values can be the measures of the exterior angles of a triangle? 120°, 110°, 130° 35°, 103°, 122° 123°, 87°, 220°
    7·1 answer
  • Draw an angle of negative pie over three in<br> Standard position.
    15·1 answer
  • It takes one student 8 hours to wash all of the cars at a school car wash. If 6
    5·1 answer
  • Find 10-3. write the subtraction fact two ways.
    12·2 answers
  • PLEASE HELP! THANKS!
    5·2 answers
  • One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the
    7·1 answer
  • A patient has a twenty-centimeter incision along the abdomen that must have a topical antibiotic ointment applied for every dres
    14·1 answer
  • Work out the area of the trapezium ABDE.<br> B<br> 9 cm<br> 6 cm<br> 8 cm<br> →D<br> E
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!