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
IRINA_888 [86]
2 years ago
13

write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by

y=-2x+6
Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

Answer:

<h2>         y = ¹/₂x + 6</h2>

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

<h3>y = ¹/₂x + 6</h3>
You might be interested in
Matt reasoned that he can write 9/1,000 as 0.9. Is he correct? Explain your answer.
GuDViN [60]
No because 9/1,000 in decimals would be 0.009 because if the number was a 3 number then it would go in the tenths
5 0
3 years ago
A)231*12 531*23 505*11 402*44 b) 516*25 893*72 860*91 c) 413*25 120*518 119*98 7*00*125 d) 7800*8600 980*37000 1860*890 5800*470
Allushta [10]

Answer:

mega mind<3<3<3<<3<3?3<3<

5 0
2 years ago
67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

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

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

7 0
2 years ago
Can someone answer this please so I can go to the back page
igomit [66]
Blake has 25 CD's.

25 times 3 = 75
75 + 7 = 82

Joel has 82 CD's.

If Joel has twice as many as Mariella, then divide 82 by 2 and you get 41.

Mariella has 41 CD's.
7 0
3 years ago
Nancy’s 50-meter freestyle swim time was 28.004 seconds. Betty’s 50-meter freestyle swim time was 27.949 seconds. What was the d
vladimir2022 [97]
If you subtract Betty's time for the swim, 27.948 seconds, from Nancy's time, 28.004 seconds, you will find that Betty was faster than Nancy by 0.056 seconds. She would be considered the winner of the 50-meter freestyle swim.
8 0
3 years ago
Read 2 more answers
Other questions:
  • HELP! A daycare purchases two type of snacks, granola bars and fruit rolls. One week, they purchase 10 packs of granola bars and
    8·2 answers
  • In a 3-hr examination of 320 questions, there are 40 mathematics problems. if twice as much time should be allowed for each math
    11·2 answers
  • You intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis tes
    9·1 answer
  • Estimate the product by rounding 9x54
    14·1 answer
  • The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.
    13·1 answer
  • Please solve with working
    10·1 answer
  • A collector has 135 movie posters and 90 band posters. She wants to sell 36 movie posters but still have her poster collection m
    9·1 answer
  • The diameter of a circle is 18 m. Find its circumference in terms of pi.​
    5·1 answer
  • A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that
    9·1 answer
  • Zahin has 4/6
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!