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
Marta_Voda [28]
2 years ago
13

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4,

−3)?
Mathematics
2 answers:
Inessa [10]2 years ago
8 0

Answer:

The given line is

y=2x-3

Notice that this equation is in slope-intercept form, where m=2 and b=-3, that is, its slope is 2, and its y-intercept is at -3.

Now, all perpendicular line to the given one must have a slope of -1/2, which is the opposite inverse number, and by definition that is the slope of a perpendicular line.

Then, we use the point-slope formula, using the slope and the given point

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

Therefore, the point-slope form is: y+3=-\frac{1}{2}(x+4)

The point-intercept form is: y=-\frac{1}{2}x-1

zheka24 [161]2 years ago
7 0
Answer: C ) y + 3 = 1/4 ( x + 4 )

Explanation:

Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.

The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.

If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:

m1 * m2 = - 1, and you can solve for either m1 or m2:

m1 = - (1 / m2)

m2 = - (1 / m1).

With that this is the procedure:

1) find the slope of the "given line". Name it m1.

2) find the slope of the perpendicular line:

    m2 = - (1 / m1).

3) Use the equation of the line with the point (x1,y1) and slope m2

y - y1
-------- = m2
x - x1

4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3

=>

y - (-3)
---------= m2
x - (-4)

=> y + 3 = m2 * (x + 4)

=> y = m2*x + m2 * 4 - 3

Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).

Taking that the other line has m1 = - 4 so m2 = 1/4

      y = (1/4)x + (1/4) * 4 - 3

      y = (1/4) (x +4) - 3

      y + 3 = (1/4) (x + 4) and answer is: C ) y + 3 = 1/4 ( x + 4 )



You might be interested in
Which do you think will have a greater value, 1/8 of one pound gold or 1/4 of lead? Why?
Ivenika [448]
<span>if you multiply 1/8 by 4, the fraction become 4/32, and if you multiply 1/4 by 8 you get 8/32.Since both fractions have the same denominator, we can find which fraction has the greater value. Since 1/4(8/32) has a greater numerator, the 1 pound of lead will have a larger value.</span>
4 0
3 years ago
26 divided by 5 1/2 I dont know!!
zavuch27 [327]

Answer:

4.727

Step-by-step explanation:

An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.

<em>Hope this helps!</em>

5 0
3 years ago
Read 2 more answers
Paula has a dog that weights 3 times as much as Carla's dog. The total weight of the dogs is 48 pound. How much does Paula's dog
tiny-mole [99]
Paula's dog is 36 lbs

Use the equation 48=3x+x

Add like terms: 48=4x

Divide: 12=x (x=Carla's dog's weight)

Then Multiply x by 3 to get Paula's dog's weight and you get 36 lbs
5 0
3 years ago
Read 2 more answers
The present value of $100 to be received 10 years from today, assuming an opportunity cost of 9 percent, is
Alona [7]

An opportunity cost of 9 percent, is $42.

We have given that,

The present value of $100 is to be received 10 years from today,

assuming an opportunity cost of 9 percent,

present value =$100

N=10 years

I/y=9

<h3>What is the formula for the present value?</h3>

PV= FV/(1+r)^n

Where FV is the future value.

Use the given values in the formula we get,

Therefore the correct answer is 42.

To learn more about the present value visit:

brainly.com/question/20813161

#SPJ1

7 0
1 year ago
On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length
madam [21]

What is h?

maybe 25%

i hope it helped you sorry if it didn't

6 0
3 years ago
Read 2 more answers
Other questions:
  • without axtually calculating,how much greater is the product of 98times 50 than the product 97 times 50
    5·2 answers
  • Veronica sells berries at a farmer's market. She pays $45 for the booth, and earns $5 per pound of berries sold. She sells betwe
    15·2 answers
  • Find the equation of the line. Use exact numbers.
    5·1 answer
  • If the square root of 1 over 2 x - 10 added by 3, which inequality can be used to find the domain of f(x)?
    11·1 answer
  • HELP FOR 13 point bsbshshs
    8·2 answers
  • Can someoene help with this please?
    10·1 answer
  • Please provide answer and explanation !!
    9·1 answer
  • Please help! I will give brainliest! Thank You!
    15·2 answers
  • What is the answer to y=-2/3+b
    14·1 answer
  • A store is instructed by corporate headquarters to put a markup of ​% on all items. An item costing ​$ is displayed by the store
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!