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
Rus_ich [418]
1 year ago
10

What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

Mathematics
1 answer:
PIT_PIT [208]1 year ago
3 0

Answer:

4x + 3y = - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

• Parallel lines have equal slopes

calculate the slope of the line using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = \frac{-1-3}{3-0} = \frac{-4}{3} = - \frac{4}{3} , then

y = - \frac{4}{3} x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - \frac{4}{3} x - 2 ← equation in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 4x - 6 ( add 4x to both sides )

4x + 3y = - 6 ← in standard form

You might be interested in
Use the number line determine the absolute value. enter the value, as mixed numbers in the simplest form, in the box.
vitfil [10]
The absolute value of -1/3 is 1/3. I guess by using the number line you move 2(1/3) to the right from the point -1/3
4 0
2 years ago
Omar is putting 5 liters of water in two goldfish bowls. He spills 200 milliliters of water and divides the remaining water even
DedPeter [7]

Answer:

a) 0.2 L

b) 4800 ml

c) 2400 ml

Step-by-step explanation:

Total volume of water = 5 litres

Since 1000 milliliters make 1 L

5L = 5000 ml

a) litres of water spilt = 200/1000 = 0.2 L

b) milliliters of water remaining = 5000 - 200 = 4800 ml

c) since it was expressly stated in the question that the remaining water was divided evenly; 4800/2 = 2400 ml in each bowl

4 0
2 years ago
What is a histogram?
olasank [31]

Answer:

A histogram is a graph that organizes a group of data points. A histogram graphically summarize the distribution of a univariate data set.

3 0
3 years ago
Answer ASAP ASAP please
vitfil [10]
She went picked up speed and maintanined for a little while, then slowed to a stop, after that she started to pick up speed and went faster, but immedianlty after slowed to a halt..
5 0
3 years ago
Express each of the following scales in the form 1: r.
jeka57 [31]

Answer:

more information?

Step-by-step explanation:

this question just confuses me a little bit

6 0
2 years ago
Other questions:
  • How do I write c. Using if and then
    5·1 answer
  • At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers to science teachers in si
    8·2 answers
  • The product of c and 2
    12·1 answer
  • How much dimes make 20 dollars
    6·1 answer
  • a sporting complex charges $6 to use its facility. the expression 0.25b+6 models the total cost to hit b baseballs in the bating
    11·1 answer
  • 4 - 7/x = 5 + 6/x <br>help me guys <br><br>​
    7·1 answer
  • If the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
    11·1 answer
  • Helpppp with this plssss
    13·1 answer
  • 100 points! PLEASE ANSWER!
    14·1 answer
  • A company's prospectus includes:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!