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
Rudiy27
3 years ago
14

Find the equation of the straight line through (–2, 3) perpendicular to 2x + y =8

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

You might be interested in
2. Multiply and simplify: (x - 2)(2x + 3)<br> Answer
inysia [295]

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

8 0
3 years ago
Read 2 more answers
When have I ever done this leave me alone please
soldi70 [24.7K]

Answer:

zusvhzbzhz

Step-by-step explanation:

zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs

3 0
2 years ago
Read 2 more answers
Hey! Could I get a lil bit of help? (10 points)
GrogVix [38]

Answer:

<em>Neither A nor B</em>

Step-by-step explanation:

Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.

4 0
2 years ago
Read 2 more answers
Help 9th grade algebra
Naya [18.7K]

Answer:

Step-by-step explanation:

1. true

2. true

3. true

4. false

7 0
3 years ago
Read 2 more answers
1.what is the vertex of the graph? (see attachment)
AfilCa [17]
Hello :
here is a solution :

5 0
3 years ago
Read 2 more answers
Other questions:
  • A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V
    12·1 answer
  • a drink bottler needs to fill 40 one pints bottles and he has two tanks one that contains 2 gallons of soda and a second that co
    8·2 answers
  • Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
    14·1 answer
  • I need to know what is 2x+4
    9·2 answers
  • Caroline bought 20 shares of stock at 10 1/2, and after 10 months the value of the stocks was 11 1/4. If Caroline were to sell a
    9·1 answer
  • Bob wants to put new weather stripping around a semicircular window above his door. The base of the window (diameter) is 36 inch
    5·1 answer
  • Tell Whether the Ordered Pair is (or is NOT) a Solution of the Equation Given<br><br> 3) (-2, -1)
    5·1 answer
  • A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
    8·2 answers
  • What is b<br> b+12=26 <br> 38<br> 24<br> 14<br> 10
    13·2 answers
  • Clara played a video game before she left the house to go on a walk. She started with 0 points, lost 6 points 3 times, won 4 poi
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!