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
Pie
3 years ago
8

6. The equation of line A is 3x + 6y - 1 = 0. Give the equation of a line that passes through the

Mathematics
1 answer:
Pavel [41]3 years ago
7 0
Step 1: Convert to slope-intercept form to find the slope of the line.

This isn't necessary if you know all the shortcuts, it just makes your life a bit easier.

3x+6y-1=0\\6y=-3x+1\\y=-\frac{3}{6}x+\frac{1}{6}\\-\frac{1}{2}x+\frac{1}{6}

Now we want to find the equations for our new lines. It's easiest to do this in slope-intercept form, so let's start finding the slope and y-intercept.

So for the perpendicular line, the slope is going to flip and change signs, this is aka its opposite reciprocal.
And for the parallel line, it'll stay the same.

-\frac{1}{2} ⇒ \frac{2}{1}=2
-\frac{1}{2} ⇒ -\frac{1}{2}

As for the y-intercept, just apply that slope until you get a point where x=0.

(5, 1) with a rise of 2 and a run of 1...let's work backwards to (0, b)
(5, 1), (4, -1), (3, -3), (2, -5), (1, -7), (0, -9).

(5, 1) with a rise of -1 and a run of 2...let's work backwards to (0, b)
(5, 1), (3, 0), (1, -1)...gonna have to take half a step here...(0, -1.5).

Now let's construct our equations in slope-intercept form.

y = 2x-9\\y=-\frac{1}{2}x-\frac{3}{2}

And now it's time to convert to general form!

Make sure we have common denominators...check.

Multiply by the denominator...

y=2x-9\\2y=1x-3

...check.

Aaaand bring everything over!

\boxed{-2x+y-9=0}\\\boxed{-x+2y-3=0}

You might be interested in
What are the slope and the y-intercept of the linear function that is represented by the table?
uranmaximum [27]

Answer:

x y Negativo tres cuartos Negativo

Step-by-step explanation:

3 0
3 years ago
What is the value of x?
Softa [21]
X = 114.
If you look, the angles are the same, therefore, 114.
3 0
3 years ago
Read 2 more answers
4. A fruit vendor packed 100 apples each in 64 baskets. Later, he found some apples were left unpacked. So he packed 30 more app
topjm [15]

Answer:

Here is the answer

Step-by-step explanation:

Apples in 1 baskets=100

Apples in 64 baskets=100*64-6400

apples (before adding 30 apples in each

basket).... ..(1)

Some apples left unpacked

So he added 30 apples to each

Total apples added by him- 30*64(in each basket*no of baskets)

= 1920 apples

.(2)

So total no apples eq(1)+eq(2)

= 6400 apples + 1920 apples

=8320 apples packed in total

Therefore the total no. of apples packed were 8320 apples.

Hope this helps

Thanks

4 0
2 years ago
What is a relation and what does it do in functions?
Law Incorporation [45]
A relation<span> from a set X to a set Y is called a </span>function<span> if each element of X is related to exactly one element in Y

</span>
8 0
3 years ago
Read 2 more answers
Wyatt had $ 73.85 he wants to divide this amount evenly between himself and four of friends how much should each person get
ioda

Answer:

14.77

Step-by-step explanation:

divide $17.85 by 5

7 0
3 years ago
Other questions:
  • Round to the nearest tenth 1.763
    7·2 answers
  • Solve the following system.
    8·1 answer
  • Which is the equation of a line that passes through the point (3,-4) and has a slope of 2.
    5·1 answer
  • Round this number to the nearest 1000th place. 3,333.8485
    6·1 answer
  • Do you guys know how to multiply decimals because I can’t I forgot! What’s 87.8 Times 66.4
    11·2 answers
  • If radius is 28m. Find the circumference of the circle to the nearest tenth use 3.14
    10·1 answer
  • Please help this is the last question on my test!! What is the approximate area of a circle with a radius of 4 feet? Use 3.14
    8·2 answers
  • 0.00014s in scientific notation? ...?
    7·2 answers
  • From Hardcover Book, Marsden/Tromba, Vector Calculus
    15·1 answer
  • Solve the above questions <br>don't spam ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!