Find the linear equation whose graph is the straight line with the given properties through ( 1,-8) and (-1,-1)

Answers

Answer 1
Answer: y=-7/2x-9/2

Explanation: solving for y=mx+b (linear equation)

m(slope)=y2-y1/x2-x1
(x1= 1, y1=-8),(x2=-1,y2=-1)
M=-1-(-8)/-1-1=7/-2= -7/2

To find the b(y-intercept),use one of the coordinates and plug it into y=mx+b, I will use (x=1,y=-8): -8=-7/2(1)+b

-8/1=-7/2(1)+b/1 -divide the 1 to cancel it and bring it to the other side.

-8+7/2=-7/2+7/2+b -add the 7/2 to cancel it and bring it to the other side.

-9/2=b -b is now isolated and is solved.

So, that’s how you get y=-7/2x-9/2
Answer 2

The equation of a line for the given coordinates is 7x+2y+9=0.

The given coordinates are (1, -8) and (-1, -1).

We need to find the linear equation whose graph is a straight line.

What is the slope of a line?

The slope of a line is defined as the change in the y coordinate with respect to the change in the x coordinate of that line. The slope of a line=m=(y2-y1)/(x2-x1).

Now, slope of the line=(-1-(-8))/(-1-2)

=7/(-2)

=-7/2

Now, put m=-7/2 and (-1, -1) in the equation y=mx+c.

So, -1=(-7/2)(-1)+c

⇒-1-7/2=c

⇒c=-9/2

Then the equation of the line=y=-7x/2-9/2

⇒2y=-7x-9

⇒7x+2y+9=0

Therefore, the equation of a line for the given coordinates is 7x+2y+9=0.

To learn more about the slope visit:

https://brainly.com/question/2491620.

#SPJ2


Related Questions

convert 9/8 to a decimal long division

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1.125 is the decimal form
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Answer:

The distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.

Step-by-step explanation:

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Answer:

UwU thank you

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-Todo <3

Step-by-step explanation:

The radius of a circle is 2.8 cm. Find the circumference to the nearest tenth.

Answers

Answer: 17.59 cm

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17.6cm
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Please help!! What is the y-intercept of the line graphed below? Write your answer as an ordered pair?

Answers

Answer:

y-intercept = (0,-2)

Step-by-step explanation:

Triangle NOP, with vertices N(3, 4), O(7, 7) , and P(4, 9) , is drawn on the coordinate grid below .

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8:72728288 77557557875

juanita borrowed $600 to purches a computer

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Answer:

Juanita borrowed $600 to purchase a computer

Step-by-step explanation:

Grammer

Answer:

what exactly is your question? i would be happy to help, but there is no question present.

Step-by-step explanation:

Match each trigonometric function with its right triangle definition. Note that opp = side opposite Angle A, adj = side adjacent to Angle A, and hyp = hypotenuse.

1. hyp/opp
2. hyp/adj
3. opp/adj
4. adj/hyp
5. adj/opp
6. opp/hyp

a. sec A
b. cot A
c. sin A
d. tan A
e. csc A
f. cos A​

Answers

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image pls see <3

Step-by-step explanation:

what is the angle M?

Answers

Answer:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B). By definition, the term congruent means "having equal length or measure". Figures are congruent ( ). Segments are congruent. Angles are congruent.

Answer:

ive found sideNM = 9.797...

and constructed a triangle

Step-by-step explanation:

and I've measured it

the answer ive got is approximately 30 degrees

Lol I've verified in a funny way,

Ive measured the angle directly putting on the screen and it measures 30 degrees

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Answers

Answer:

Its b I think.  Sorry if it's wrong.

Step-by-step explanation:

Answer:

try c

Step-by-step explanation:

sorry if its wrong

SOMEONE PLEASEEEE HELPPPPPPPP

Answers

Answer: 21

Step-by-step explanation:

The ratio of sides from large to small is 2/3

30*2/3= 20

27*2/3=18

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Draw the image of quadrilateral ABCD under a translation by 2 units to the left and 6 units down.

Answers

A=(3,-4)
B=(-2,-6)
C=(-3,-3)
D=(-1,-5)

Answer:

Step-by-step explanation:

Help xnnsnnznnsks8#xkdo#slls

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Answer:

Dance class and soccer

Step-by-step explanation:

because in those two fractions the numerators are more than half of the denominators

If AC = 6, DC = 4, FC = 15, D = 65°, and CBE = 115°, what is the length of CB ?

(1) 10
(3) 17
(2) 12
(4) 22.5

Answers

10 is the answer. Hope that helped

is 12 - 3z + 6z2 and 6(z - 2) equivalent

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Answer:

[tex]\mathbb{ ANSWER }[/tex]

NOPE

While walking in her neighborhood, Ashley found 3 dimes and 4 pennies on the ground. What percent of a dollar did Ashley find?

Answers

Answer:

34%

Step-by-step explanation:

Dime = 10 cents, 10% of a dollar

Penny = 1 cent, 1% of a dollar

3 dimes = 30% of a dollar

4 pennies = 4% of a dollar

30% + 4% = 34%

what percent of 95 is 60.8

Answers

Answer:

57.76 :)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Two sides of a parallelogram are 49 feet and 78 feet. The measure of the angle
between these sides is 59º. Find the area of the parallelogram to the nearest square
foot.

Answers

Answer:

[tex]A=3276\ ft^2[/tex]

Step-by-step explanation:

Given that,

The sides of a parallelogram are 49 feet and 78 feet. The measure of the angle  between these sides is 59º.

We need to find the area of the parallelogram.

Using trigonometry,

[tex]\sin(59)=\dfrac{h}{49}\\\\h=\sin(59)\times 49\\\\h=42.00\ ft[/tex]

We know that,

Area = base (b) × height (h)

So,

[tex]A=78\times 42.00\\\\A=3276\ ft^2[/tex]

So, the area of the parallelogram is equal to [tex]3276\ ft^2[/tex].

What is the scale factor?

Answers

Answer:

2

Step-by-step explanation:

it literally doubles in size

Answer:

2

Step-by-step explanation:

Find a linear dimension of the image, such as a length, width, height, altitude, etc. Find the corresponding dimension in the original. Divide the length of the image by the original length.

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Corresponding length in the original: AB = 3

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Answer: 2

Recovery
Drew's neighbor pays him $35 to mow
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friend and split the earnings evenly. How
much will each of them make?

Answers

Answer:

Step-by-step explanation:

Ok lets find 20% of 35 first.

20% of 35 is just 2 lots of 10%

10% of 35 is 3.5 if we move over the decimal

2 lots of 3.5 is 7

add the tip on

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42 / 2 = 21

They each get $21

good luck mate!

-cheesetoasty

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Answers

Answer:

2/3 is already simplified

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Enrique says that when you know the diameter of a circle you can find the radius. how can find the radius. How can he find the length of radius if he knows the length of the diameter?

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Answers

Answer:

The radius is always half of the diameter.

Step-by-step explanation:

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log[tex]Evaluate log _{2} {\frac{1}{128} }[/tex]

Answers

128*2+ 1/ 127 =2.00781

9514 1404 393

Answer:

  -7

Step-by-step explanation:

It is helpful to recognize 128 = 2^7. Then you know ...

  [tex]\log_2\dfrac{1}{128}=\log_2{2^{-7}} =\boxed{-7}[/tex]

__

If you don't know that, you can use the change of base formula:

  [tex]\log_2{\dfrac{1}{128}}=\dfrac{\log{\dfrac{1}{128}}}{\log{2}}=\dfrac{-2.1072}{0.30103}=\boxed{-7}[/tex]

just... I can't make promises, but almost to last question, 5 star and brailiest

Answers

Answer:

A= 1,0 B=0,-3 C=-6,5 D=-3,-5 E=-1,4

Step-by-step explanation:

you did it right. just got some numbers mixed up (remember x=axis before y-axis)

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The volume would be the area of the triangle x the length (r)

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Answers

Answer:

The x value is 5

Step-by-step explanation:

The x value is the value when you go across( or left and right)

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what is the height of the tree

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Answers

Answer:

B

Step-by-step explanation:

You first must find the conversion rate. Since you know a 4 ft tall object produces a 5 foot long shadow, you simply divide 4 by 5. This gives you 0.8. Now that you have your conversion rate, you multiply it by the shadow the tree casts, that being 125, and your answer is B, 100.

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6
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22
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Answers

Answer:

x = 8

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Answers

Answer:

Step-by-step explanation:

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Answer:

RP=21.

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