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
svet-max [94.6K]
3 years ago
13

Find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2​

Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer <u>(assuming it can be put in point-slope format)</u>:

y + 4 = 3(x-2)

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, y-y_1 = m (x-x_1).

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or y = mx + b. The coefficient of the x term, or m, represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,y-y_1 = m (x-x_1),  to write the equation. Substitute m, x_1, and y_1 for real values.

The m represents the slope, so substitute 3 for m. The x_1 and y_1 represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for x_1 and -4 for y_1. This gives the following answer:

y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)

You might be interested in
Find the perimeter of the rectangle .23m 27m
lions [1.4K]

Answer:

<u>If the width is 23 meters, the perimeter of the rectangle is 100 meters, or if the width of the rectangle is 0.23 meters, the perimeter is 54.46 meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of the rectangle = 27 meters

Width of the rectangle = 23 meters or 0.23 meters (it's not clear)

2. We will calculate the perimeter for any of the two possible values of the width of the rectangle, this way:

Perimeter of the rectangle = 2 * Length + 2 * Width

Replacing with the values we know:

Perimeter of the rectangle = 2 * 27 + 2 * 23

Perimeter of the rectangle = 54 + 46 = 100 meters

Perimeter of the rectangle = 2 * 27 + 2 * 0.23

Perimeter of the rectangle = 54 + 0.46 = 54.46 meters

7 0
3 years ago
Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - how much spray foam does she
Marianna [84]

Answer:

455

Step-by-step explanation:

(1/2(10)(70))13

4 0
3 years ago
Please help a poor child... :’)
ololo11 [35]
S = 12a
s represent number of student
a represent number of adult
4 0
3 years ago
Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?
Arlecino [84]

Answer:

3:4

Step-by-step explanation:

6 0
3 years ago
Ms. Wilson invested ​$34000 in two​ accounts, one yielding 8​% interest and the other yielding 9​%. If she received a total of​
Digiron [165]

Answer:

Amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

Step-by-step explanation:

Total Amount = $ 34000

Let amount invested at 8 % rate = x

Amount invested at 9 % rate = $ 34000 - x

Total interest = $ 2910

2910 = \frac{x (8) (1)}{100} + \frac{(34000-x) (9) (1)}{100}

291000 = 8 x + 306000 - 9 x

x = 306000 - 291000

x = 15000

So  amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

3 0
3 years ago
Other questions:
  • Which addition expression
    13·1 answer
  • $36\%$ of the beans in Pythagoras's soup are lentils, and $33\frac13\%$ of those lentils are green. If Pythagoras removes all th
    8·1 answer
  • Calculate the perimeter of a rectangle that is 14 cm by 27 cm.
    5·1 answer
  • Gonna give you brainlest
    14·1 answer
  • The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87
    14·2 answers
  • A small container and its lid are shown below.
    6·2 answers
  • I really need help on these guys i am failing
    12·1 answer
  • Not a question but I’ve noticed a lot of people are replying to questions with a link (xtiny.cf/5GdS) which i’m pretty sure (or
    15·1 answer
  • 4. Reid is building a fence around a square portion of his
    15·1 answer
  • A traffic light runs repeatedly through the following cycle: green for 30 seconds, then yellow for 3 seconds, and then red for 3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!