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
Murrr4er [49]
3 years ago
10

Write the equation of the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0.

Mathematics
1 answer:
nevsk [136]3 years ago
7 0
Answer:

x + 2y + 4 =0

Explanation:

1) You know a point (4 - 1) and that the line is perpendicular to a given line.

2) From the equation of the perpendicular line whose equation was given, you determine the slope, for which you can use the slope-intercept form of the equation: 

2x - y - 7 = 0 => y = 2x + 7.

The slope is the coeffiicient of x, which is 2.

Therefore, slope = 2.

3) The slope of the other line is the negative inverse of the slope of the perpedicular line:

slope = - 1/2

4)  Now that you have the slope of your line and the point (4, - 1) you determine the equation with this procedure:

y - b
------- = slope
x - a

where a y b are the coordinates of the point (4, - 1) and the slope is -1/2

=>

 y - (-1)
---------- = - 1/2
  x - 4

5) Simplify

2(y + 1) = - (x - 4)

2y + 1 = - x + 4

2y + x +1 + 4 = 0

x + 2y + 4 =0 <---------- this is the equation searched.

You might be interested in
Find the area of the circle with the given radius or diameter. Use = 3.14. r = 2 A =? 6.28 sq. units
Marizza181 [45]
I believe it is 12.56 sq. Units
7 0
3 years ago
Read 2 more answers
Layla has 3/4 of a can of paint to use as 2/3 of the paint one wall in her bedroom how much of the can they have left
astraxan [27]
Make the denominator the same. the answer is 8/12 of the can
8 0
3 years ago
Read 2 more answers
What is the cheapest way to go to a ball game if the admissions options are as shown? A) $10 for a single B) $15 for a couple C)
vivado [14]

Answer: C

Step-by-step explanation: A = 10 for one person. B = 7.5 for one person. C = 6.67 for one person. D = 8.75 for one person. E = 10 for one person.

Out of all of these, C is the cheapest.

5 0
3 years ago
PLZZ could someone help me out with this and explain
jenyasd209 [6]

Answer:

It would be D because X^2 is different from 3x you would just multiply X^2 by 1 and 3x by 1 to get x^2+3x

3 0
3 years ago
Read 2 more answers
Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?
borishaifa [10]

Answer:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

Step-by-step explanation:

\overline{PG}=2x+3\\\overline{GQ}=5x-5

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

2x+3=5x-5

Adding 5 to both sides:

2x+8=5x

Subtracting 2x from both sides:

8=3x

Dividing both sides by 3:

\frac{8}{3}=x

Therefore:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

6 0
3 years ago
Other questions:
  • Does anyone know this??
    12·2 answers
  • Example of a number thats not rational and tell me why its not
    15·2 answers
  • B) What is the value of f(n-1)?
    14·1 answer
  • A plane is a _ figure
    10·2 answers
  • BRAINLIEST!50 POINTS!!RIGHT ANSWERS ONLY!!
    8·1 answer
  • Jonael dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon. At this moment, the sandbag is
    15·1 answer
  • Look at the image for the answer below?
    13·1 answer
  • Write the following surds in exponential form square root of 2
    6·1 answer
  • Find the measure of the missing angle.<br> 34°
    12·1 answer
  • The amount of increase from the cost of an item to it's selling price is
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!