Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6
Answers
Answer:
A
Step-by-step explanation:
K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2
y=-2x+b
2=-2*-2+b
b=-2
y=-2x-2
y+2x=-2
The equation of the line in standard form with integer coefficients is → y + 2x = - 2.
What is the general equation of straight line?The general equation of straight line is -
y = mx + c
where 'm' represents the slope of the line and 'c' is the y - intercept.
Given is a line that passes through the points -
(-2, 2), (1, -4)
We can calculate the slope of the line using the two coordinates given -
(-2, 2), (1, -4). The slope will be -
m = (- 4 - 2)/(1 + 2)
m = -6/3
m = - 2
Assume that the equation of line is -
y = -2x + c
The line passes through the point (-2, 2), so we can write -
2 = -2 x -2 + c
2 = 4 + c
c = -2
So, we can write the equation of line as -
y = - 2x - 2
or
y + 2x = - 2
Therefore, the equation of the line in standard form with integer coefficients is → y + 2x = - 2.
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Related Questions
Two pulleys, one with radius r 1r1 and the other with radius r 2r2, are connected by a belt. The pulley with radius r 1r1 rotates at omega 1ω1 revolutions per minute, whereas the pulley with radius r 2r2 rotates at omega 2ω2 revolutions per minute. Show that StartFraction r 1 Over r 2 EndFraction equals StartFraction omega 2 Over omega 1 EndFraction r1 r2
Answers
Answer:
r1/r2 = 2ω2/ω1
Step-by-step explanation:
The velocity of each pulley is expressed as v = ωr where;
v is the linear velocity of the pulley
ω is the angular velocity of the pulley
r is the radius of the pulley.
For the two pulleys, the velocity I'd both pulleys are the same.
v1 = v2
v1 is the linear velocity of first pulley
v2 is the linear velocity of the second pulley.
v1 = ω1r1
v2 = 2ω2(r2)
r1 and r2 is the radius of pulley 1 and pulley 2 respectively.
Since v1 = v2
ω1r1 = 2ω2(r2)
Divide both sides by r2
ω1r1/r2 = 2ω2(r2)/r2
ω1r1/r2 = 2ω2
Divide both sides by ω1
ω1r1/r2/ω1= 2ω2/ω1
r1/r2 = 2ω2/ω1
if x=-2, y=-6 and z=4, Find the value of 4xy 3marks
Answers
Answer:
Step-by-step explanation:
4xy=4*(-2)*(-6)
4xy=48
Phil would like to make a profit of $250 this summer mowing his grandfather’s lawn. If he plans to mow 20 times and estimates that his fuel costs will be $30 for the entiresummer,which equation could be used to determine how much should he charge for each mowing?
Answers
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
Answer:
20x - 30 = 250
Step-by-step explanation:
20x - 30 = 250
20x = 280
x = 14
Approximate which two integers √210 is between.
Answers
Answer:
14 and 15
Step-by-step explanation:
14 - 196
15- 225
Harry put blue and green marbles in a bag. Exactly 3/4 of the marbles in the bag are blue. Which of the following could be the total number of marbles in the bag.
A. 3
B. 6
C. 7
D. 8
Answers
Answer:
D
Step-by-step explanation:
Because when u multiply 3/4 times A,B,C it gives you a decimal, when u multiply 3/4 by 8 you get 6 a whole number.
The total number of marbles in the bag could be (d) 8
How to determine the possible total?We have:
Blue proportion = 3/4
This means that the green proportion is
Green proportion = 1 - 3/4
Evaluate
Green proportion = 1/4
Express as ratio
Blue: Green = 3/4 : 1/4
Simplify
Blue: Green = 3 : 1
Add the ratios
Total = 3 + 1
Total = 4
The above means that the total number of marbles in the bag is a multiple of 4
i.e. 4, 8, 12, 16, 20......
Hence, the total number of marbles in the bag could be (d) 8
Read more about proportions at:
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8.673
8.637
Is 8.673 greater, least, or are they equal?
Answers
Answer:
the answer is greater...
yall already know im stuck again will mark brainlyest
Answers
3) 1
4) -2
5) -11
6) -14
7) 5
8) 29
9) 13
10) 16
u have to solve quadratic equations algebraically ,if u are math nerd pls help, Solve the equation 6x=2x^2+1
Answers
Answer: here you go sir
Step-by-step explanation: I couldn’t put it on here because I had to put certain symbols. Hope this helps!
In parallelogram JKLM, what is the relationship between angle j and angle k?
j° + k° = 180°
j° = k°
j° = -k°
j° - k° = 180°
1 of 4
Answers
Answer:
since j&k are interior angles if I added they should come up to 180° so j + k is equals to 180° yeah that's the answer
7. The cost of a hotel room during Lacy's trip is
$325. The hotel room tax in the city she is in
is 10.5%. What is the total cost of the hotel
room? (Example 2)
Answers
Answer:
355.95
Step-by-step explanation:
i am going with my heart that this is correct.
What is 14/20 as a percent
Answers
Remember 'bout :
Percent is /100
So :
14 ×5 70
-------- = ----- -
20×5 100
70 %
Im sorry if im wrong
Mai’s kitchen table measures 4 cm by 2.5 cm on the scale drawing.
Answers
Answer:
nice
Step-by-step explanation:
Im not sure what I have to solve here....
evulate a^2 - b^2 if a=4 and b= -2
Answers
Answer:
20
Step-by-step explanation:
4^2 = 16
-2^2 =-4
16 -(-4) =20
You can run 1/5mi in 2 min how long will it take you you run 2mi
Answers
Answer:
20 minutes
Step-by-step explanation:
10(6 + 4) ÷ (2³.7)² =
Answers
Answer:
25/784
Step-by-step explanation:
Camelia misses 8 points on the first math test. She misses 5 points on the second math test. What integer represents the number of points Camelia misses on the first two test?
Answers
What is the missing addend?
52,835 +
= 87,216
Answers
Answer: 34,381
Step-by-step explanation:
You have to subtract 52,835 by the sum 87,216 which will get you the answer of 34,381
The missing addend is 34,381.
87,216-52,835=34,381
between which two consecutive whole numbers does the root of 15 lie
Answers
It lies between the numbers 3 & 4 because the true answer of [tex]\sqrt{15\\[/tex] is 3.87
find the value of X for which m is parallel to n .
Answers
Answer:
x = 42
Step-by-step explanation:
the angles are considered congruent so the equation would be 4x-27 = 3x+15
add 27 to both sides: 4x= 3x +42
subtract 3x from both sides: x= 42
F&J Farms sells super egg-laying chickens that historically weigh on average 3 pounds with a standard deviation of 0.4 pounds. However, it has been discovered that the chickens actually weigh twice as much as they used to. What is actual the mean and standard deviation of the chickens?
Answers
Answer:
Mean of chicken = 6 pounds, Standard Deviation of chicken = 0.6 pounds
Step-by-step explanation:
Given : Chickens mean & standard deviation = 3 & 0.4 pounds respectively. Chickens considered weigh twice actually now.
If all numbers in the series are multiplied by a constant, the mean gets multiplied by that constant. So, new mean = 3 x 2 = 6
If all numbers in the series are multiplied by a constant, the standard deviation gets multiplied by that constant. So, new standard deviation = 0.4 x 2 = 0.8
solve each equation for x:
-5(3x + 4) = 25
4(x + 2) - 3(2x - 4) = 10
-4x - 3 = -1
Answers
Answer:
1. x = -3
2. x = 5
3. Exact Form: x = −1/2
Decimal Form: x = −0.5
Step-by-step explanation:
Answer:
1. -3
2. 2/3
3. 1/2
A right rectangular prism is packed with cubes of side length fraction 1 over 8 inch. If the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?
Answers
Answer:
768
Step-by-step explanation:
16x8x6=768 because volume equals length times width times height ! :)
Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far?
Answers
Answer: 45%
So for some reason I need to add at least 20 words? So... yeah... the answer is 45%
Answer: 45%
Step-by-step explanation:
Help, I’m stuck. Lol.
Answers
Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into [tex]c^2-b^2=a^2[/tex]. [tex]15^2=225, 9^2=81,[/tex] and [tex]225-81=\sqrt{144}[/tex]=12. Therefore, the height of the parallelogram is [tex]\boxed{12}[/tex]
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and [tex]19\cdot12=\boxed{228}[/tex]
what is the mean of the data set? 61, 38, 40, 53
Answers
Answer:
48Step-by-step explanation:
Mean = Sum of all values/ total no of data
[tex]\frac{61+38+40+53}{4} \\\\= \frac{192}{4} \\\\=48[/tex]
-10+1= plssssss help meeeeeee
Answers
Answer:
-9
Step-by-step explanation:
-10 - (-1) = -9
IS THIS A FUNCTION, AND WHY
Answers
Answer:
Yes, it is a function
Step-by-step explanation:
It is a function because for every y value there is a different x value. We can also use the vertical line test to see if there are two points on the same line.
-1 1/3- 1 2/3 in the simplest form
Answers
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
thats in the simplest form
A rectangle has coordinates A(-4,3). B(0,0), C(6,8) and D(2,11)
Answers
Answer:
what is the question
Step-by-step explanation:
6. 108 is how many times as large as 2. 103?
Answers
Answer:
54 times larger than 2
Step-by-step explanation:
108 divided by 2 is 54