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
oee [108]
3 years ago
11

Write an equation of a line that passes through the given point and has slope m (3,4) m=1/2

Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0
Y - y₁ = m(x - x₁)
y - 4 = ¹/₂(x - 3)
y - 4 = ¹/₂x - 1¹/₂
<u>  + 4           + 4    </u>
     y = ¹/₂x + 5¹/₂
yanalaym [24]3 years ago
7 0
Plug the point and the slope into point-slope form and simplify to get it in slope-intercept form.

\sf~y-y_1=m(x-x_1)

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

\sf~y-4=\dfrac{1}{2}(x-3)

Distribute 1/2:

\sf~y-4=\dfrac{1}{2}x-1.5

Add 4 to both sides:

\boxed{\sf~y=\dfrac{1}{2}x+2.5}

or

\boxed{\sf~y=\dfrac{1}{2}x+2\dfrac{1}{2}}
You might be interested in
A board is 12 feet long. If the board is divided into 12 equal sections, how long is each section?
SIZIF [17.4K]
12 feet divided by 12 is equal to 1 foot ]
therefore a 12 foot long board divided into 12 equal sections has 12 1 foot long sections
6 0
3 years ago
Nth term of 4,1,-2,-5,-8
suter [353]
In the sequence, the numbers are going down by -3. So the nth term must start with -3n. To get from -3 to 4 you must add 7. This makes the nth term -3n+7.
4 0
3 years ago
Read 2 more answers
ANSWER the MATH problem if you love yo mama (ill give brainliest)
kogti [31]

Answer:

The first one is 7 and the second one is 8.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
7.5x10^5-2.9x10^4=? having trouble
alexira [117]
721,000 should be the answer. took me a little while though haha
7 0
3 years ago
Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours pe
frez [133]

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

8 0
3 years ago
Other questions:
  • Please help me<br><br> f(x) =3x^2 + 2x - 1 <br> what is f(5)
    13·2 answers
  • Y is directly proportional to x, and y =216 when x=2 find y when x=7
    14·1 answer
  • Simplify using a table. <br> (5w+2)(8w+5)
    6·2 answers
  • Billy wants to buy 657 mugs the mugs are sold for price of 3 for $4 how much was Billy pay for all the mugsb
    10·1 answer
  • What is the slope of the line with equation y = -7x?
    8·2 answers
  • Use benchmark values to estimate 7/10 + 7/8.​
    5·1 answer
  • Help me please *only answer*
    13·1 answer
  • The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)​
    8·1 answer
  • ¿Cuál es el mínimo común múltiplo de 36, 48 y 72?
    8·1 answer
  • Select the correct answer.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!