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
Semenov [28]
2 years ago
13

The equation of line WX is 2x + y = -5. What is the equation of a line perpendicular to line WX in slope-intercept form that con

tains point (-1, -2)?

Mathematics
1 answer:
sveticcg [70]2 years ago
8 0

Answer:

The third choice is the one you want

Step-by-step explanation:

If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign.  Solving for y takes care of finding the slope of WX:

2x + y = -5 so

y = -2x - 5

The slope is -2.  That means that the reciprocal slope is 1/2.  Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y.  Start by filling in the m, the x value and the y value:

y - (-2) = \frac{1}{2}(x-(-1))

Getting rid of the double negatives gives us:

y+2=\frac{1}{2}(x+1)

Distributing then gives us:

y+2=\frac{1}{2}x+\frac{1}{2}

And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):

y=\frac{1}{2}x+\frac{1}{2}-\frac{4}{2}

And the final equation in slope-intercept form is:

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

You might be interested in
Solve for the variable. if necessary, round to the nearest tenth.
Yanka [14]

Answer:

b. 8 is the correct answet it's clearly

7 0
2 years ago
8.5(4+3h)-h simplified
nikklg [1K]

Answer:

34+24.5h

Step-by-step explanation:

8.5(4+3h)-h\\\\=8.5(4)+8.5(3h)-h\\\\=34+25.5h-h\\\\=34+24.5h

4 0
3 years ago
Read 2 more answers
Find all solutions of the equation in the interval [0, 2 pi) 2 cos0-1=0
ddd [48]

Answer:

θ = π/3, 5π/3

Step-by-step explanation:

2 cos θ - 1 = 0

2 cos θ = 1

cos θ = 1/2

θ = π/3, 5π/3

7 0
3 years ago
Read 2 more answers
What is the square root of 100.
ankoles [38]

Answer:

10 is the answer

Step-by-step explanation:

thank me layer

4 0
2 years ago
Read 2 more answers
Select the correct answer.
Flura [38]
Nsssmsns shshssnsnnsnnsdnd
5 0
3 years ago
Other questions:
  • What is 19/20 as a terminating decimal?
    11·2 answers
  • Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
    15·2 answers
  • Solve the formula for the specified variable <br> h=42t+1/2at^2 for a
    6·1 answer
  • One movie club charges a $100 membership fee and $10 for each movie. Another club charges no membership fee but movies cost $15
    10·1 answer
  • 3t + 3 = -12 <br> show steps pls
    6·2 answers
  • What expression is equivalent to
    5·1 answer
  • -1/2 + (3/4times4/9)=
    14·1 answer
  • Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the function. F(x)=2(x+9)^2 -4
    15·1 answer
  • FIND 11 DIVIDED 10 AND 10 DIVIDED 11. WRITE EACH QUOTIENT AS A FRACTION OR MIXED NUMBER.
    6·1 answer
  • Find the measure of angle A to the nearest degree
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!