Which Line Is Parallel To The Line 8x + 2y = 12?
Introduction
In this lesson, we will learn how to determine which line is parallel to the line 8x + 2y = 12. We will first look at what it means for two lines to be parallel and then look at how to identify which line is parallel to the given line.What Does it Mean for Two Lines to be Parallel?
Two lines are parallel if they have the same slope. Slope is a number that measures the 'steepness' of a line. A line with a higher slope is 'steeper' than a line with a lower slope. For two lines to be parallel, they must have the same slope.Identifying Which Line Is Parallel
To identify which line is parallel to the given line 8x + 2y = 12, we need to look at the slope of the given line. To find the slope of a line, we use the equation y = mx + b, where m is the slope of the line. In the given equation, we can see that m = 4. This means that any line that has a slope of 4 is parallel to the given line.Conclusion
In this lesson, we have learned how to determine which line is parallel to the line 8x + 2y = 12. We have seen that two lines are parallel if they have the same slope and that the slope of the given line is 4. Therefore, any line that has a slope of 4 is parallel to the given line.Related Video:
Questions and Answers:
1. find the equation of the straight line which passes through the point (-2,4) and is parallel to the line y=2x +5.
y = 2x + 5
m = 2
y - b = m(x - a)
y - 4 = 2(x -(-2))
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 4 + 4
y = 2x + 8
2. Determine the equation of straight line: passing through (3,6) and parallel to the line 2y + 2x = 3
Penjelasan dengan langkah-langkah:
langkah pengerjaan ada pada
3. The line equation that is parallel to the line 3x-5y+4 = 0 and through the point (-10,2) is
Jawaban:
*
gradien sejajar
m2 = m1
*
mencari gradien
a/b
a = angka didepan x
b = angka didepan y
*
contoh
by = ax + c
maka gradiennya
a/b
*
tentukan m1 dari persamaan 3x - 5y + 4 = 0
ubah kedalam persamaan by = ax + c
3x - 5y + 4 = 0
-5y = -3x - 4
maka
gradiennya = -3/-5 = 3/5
*
tentukan m2
ingat m2 = m1 maka m2 = 3/5
*
rumus persamaan garis dengan gradien dan 2 buah titik
(y - y1) = m(x - x1)
*
maka persamaan garis dengan gradien 3/5 dan titik (-10 , 2)
x = -10 , y = 2
(y - y1) = m(x - x1)
(y - 2) = 3/5 (x - (-10))
y - 2 = 3/5 (x + 10)
y - 2 = 3/5 x + 6
y = 3/5 x + 6 + 2
y = 3/5 x + 8
semoga bermanfaat dan terimakasih
4. The phrase"taken to heart"in line l is closest on mearning to which of the following?
artinya perhatikan baik baik/attention
5. 1. From the numbers in the text, we knowthat ....A. the equatorial line is longer than theaxis lineB. the equatorial line is shorter than theaxis linethe equatorial line and the axis lineare of the same lengthD. the axis line is longer than theequatorial lineC.
you have to put the text so we can anwers those questions..
6. The word "shape" in line 1 is closest in meaning to which of the following?
Jawaban:
form
Penjelasan:
this is the answer.
7. find the equation of the line through the -5.6 point and perpendicular to the line 3x-2y + 2 = 0
3x-2y+2=0
y=mx
-2y=-3x..
y=3/2x
m=3/2
3/2.m2=-1
m2=-2/3
y-y1=m(x-x1)
y-6=-2/3(x+2)
----------------------x3
3y-18=-2(x+2)
3y-18=-2x-4
2x+3y=-4+18
2x+3y=14
8. Look at the picture below! Line AB is perpendicular to line ....
Jawab:
Line AB is perpendicular to line BD
maaf kalau salah hehe
9. Line p is parallel to line 2x+y-1=0 line p passes through point (2, -3), so the linearequation of line p is... *
Jawab:
Penjelasan dengan langkah-langkah:
Garis p sejajar dengan garis 2x + y-1 = 0 garis p melewati titik (2, -3), sehingga
persamaan garis p adalah ...
10. a line cuts x-axis at (-5,0) and y-axis at (0,7).find1)the equation of this line2)the equation of another line parallel to this line and passes through point (10,5)
(y - y1) / (y2 -y1) = (x - x1) / (x2 - x 1)
(y - 0) / (7 - 0) = (x - -5) / (0 - - 5)
y / 7 = (x +5) / (0 + 5)
y / 7 = (x + 5) / 5
5y = 7 (x + 5)
5y = 7x + 35
y = (7/5)x + 7. => m = 7/5
2) y - y1 = m (x - x1)
y - 5 = 7/5 ( x - 10
y - 5== (7/5)x - 7
y = (7/5)x - 2
11. 13. In Diagram 3, the FG is parallel to the line Hl. 3x Find the value of x. G 2x
Based on the information provided, it is not possible to determine the value of x without additional information. The diagram and the statement "FG is parallel to the line Hl" do not provide enough information to solve for x. To find the value of x, we would need to know more about the size of the angles and the lengths of the lines in the diagram.
12. which two line are parallel?
Penjelasan dengan langkah-langkah:
AB sejajar CD
Dari A ke B kan ke kanan 2 langkah dan ke atas 1 langkah. Demikian juga dari C ke D, geser kanan 2 langkah dan ke atas 1 langkah
Semoga membantu
13. Passes trough ( - akar 2, 2) parallel to the line akar2x + 5y = akar3
Jawab:
Penjelasan dengan langkah-langkah:
Passes parallel
[tex]\sf \sqrt2 \ x + 5y = (\sqrt 2)(\sqrt2) + 5(2)\\\\\sf \sqrt2 \ x + 5y = 12[/tex]
14. which line is not diameter? Explain
Jawab:
Line AO and Line BO
Penjelasan dengan langkah-langkah:
a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
Line AO and BO is a line segment with one end at the center of the circle, therefore it is a radius
15. find the equation of the line parallel to the line y=2x+4 passing through the point (6,2)
Penjelasan:
y - y1 = m2(x - x1) y - 2 = 2(x - 6)y - 2 = 2x - 12y = 2x - 12 + 2y = 2x - 1016. CG is parallel line to EHFind :a. The value of ab. The measure of angle <DCG
Penjelasan dengan langkah-langkah:
8a-45=6a-13
8a-6a=32
2a=32
a=16
sudutDCG=8a-45=8(16)-45=83⁰
17. The point M is the mid-point of the line joining the points (3. 7) and (-1, 1). Find the equation of the line through M which is parallel to the line y/3 + y/2 = 1
Jawaban:
y = 4
Penjelasan dengan langkah-langkah:
titik tengah M { (-1+3)/2 , (1+7)/2} , M (1 , 4)
y/3 + y/2 = 1
y = 6/5
garis sejajar melalui M adalah y = 4
18. Find the equation of the line passing through the point (2,-5) and parallel to the line 5x + 7y = 46.tolong dibantu secepatnya, dan yang benermakasii
question:
Tentukan persamaan garis yang melalui titik (2,-5) dan sejajar dengan garis 5x + 7y = 46.
answer:
y -y1 =m(x - x1)
y -(-5)=(-5/7)(x -2)
y +5=(-5(x-2))/7
7(y +5)=-5x +10
7y+45=-5x +10
45-10=-5x -7y
-5x -7y=35
19. The equation for a line passing trough p(-3,-5) and perpendicular to the line given by 2y+3x=0 is... Pake cara ya!!
2.-5+3.-3=-10+-9
=-19
20. the gradient of the line perpendicular to line a is ...
Jawaban:
Perpendicular Lines (HIGHER TIER)
Penjelasan:
Two lines are perpendicular if one is at right angles to another- in other words, if the two lines cross and the angle between the lines is 90 degrees. If two lines are perpendicular, then their gradients will multiply together to give -1
Semogamembantu(๑•ᴗ•๑)♡mohonmaafjikajawabansayakurangtepat
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