what is the equation of a line passing between the points below? (-3,1) (5,-7)

Answers

Answer 1

Answer:

Ax + Ay + 2A = 0 for any nonzero A, for example (A=1): x + y + 2 = 0

Step-by-step explanation:

The equation of a line is

Ax + By + C = 0

so we know that:

A*-3 + B*1 + C = 0

A*5 + B*-7 + C = 0

Let's subtract one from the other:

A*(-3 - 5) + B*(1 + -7) = 0

A*-8 + B*8 = 0

B*8 = A*8

B = A

Let's input B = A into the first two equations

A*-3 + A*1 + C = A*-2 + C = 0

A*5 + A*-7 + C = A*-2 + C = 0

checks out

C = 2A

So for any nonzero A the equation of

Ax + Ay + 2A = 0 produces a line passing between the points. Example would be

x + y + 2 = 0


Related Questions

What is the area of this shape?

Answers

Answer: 98 in2

• First let split the shape into 2 rectangles.

We’ll be using the formula: b•h (base times height)

• Small rectangle:

7x3 = 21

• Bigger rectangle:

7x11 = 77

• Now we add both, which is:

21 + 77 = 98

Please help me I really don’t know

Answers

Answer:

acute-angled

Step-by-step explanation:

It doesn't have a right angle and one of its corners isn't for than 90 degrees

4x-7 < 5
Pls solve (liniear inequality)

Answers

Answer:

x<3

Step-by-step explanation:

4x<12

x<3

11
Car Repair. Your bill for a car repair is $166.50. One third of the bill is for labor. How much is the charge for
labor? The mechanic worked on your car for 1.5 hours. What is the hourly charge for labor

Answers

Answer:

Labor = $49.95

Hourly Charge = $33.3

Step-by-step explanation:

166.50 x .3 = $49.95

$49.95 x 2/3 = $33.3

Cup o' Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?

Answers

Answer:

47% po

Step-by-step explanation:

sana makatulong po

pls help pls pls pls

Answers

Answer:

Hope that answers your question, good luck in the future

Help me with with this please

Answers

Answer: (4.5 , 6.5)

-11 + 20 / 2 = 4.5

14 + (-1) / 2 = 6.5

Which statement is true?


A.Rates are always ratios.


B.Ratios are always rates.

Answers

Answer:

THE RATES ARE ALWAYS RATIOS.

Find the difference: (-3.4x+4.7)-(3+2.9x)

Answers

Answer:

-6.3x + 1.7

Step-by-step explanation:

(-3.4x +4.7) - (3 +2.9x)

distrubute the negitive sign

-3.4 +4.7 -3 -2.9x

combine like terms

-6.3x + 4.7-3

-6.3x +1.7

Math

Find all the possible values of X

|x|= 5

Please be serouse

Answers

That means that x can equal both 5 and -5
It’s only 5 because it’s the absolute value

Independent practice question 8=-12+5y

Answers

y= 4

Have a great day :)

Answer:

y=4

Step-by-step explanation:

A teacher asks four students to write three side lengths that will not make a triangle and describe why. The table shows the students responses.



Answers

Answer:

Jocelyn

Step-by-step explanation:Jocelyn

Help this is due soon

Answers

Step-by-step explanation:

22x13, 10x9, then both answers from the previous equations multiplied. Any questions?

Could do this sheet for me. I’ll love you forever.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A batch of cookies was being sold at a bake sale. 25% of the cookies contained traces of tree nuts. All 60 cookies were eventually sold. How many contained traces of tree nut? QUICK

Answers

Answer:

15

Step-by-step explanation:

There were 60 cookies. 25 or 1/4 or 0.25 of them had tree nuts. 25% or 1/4 or 0.25 times 60 = 15.

Hope this helped! If it did, please mark it as brainliest! It would help a lot! Thanks! :D

+ Scratchpad

A ramp has a height of five feet and a horizontal distance of 200 ft. What is the angle of elevation?

A 16

(6) 5.5°

(C 25.1°

D

1.4°

€ 2.3°

Answers

Answer:

1.4°

Step-by-step explanation:

Given that :

Height of ramp, h = 5 feets

Horizontal distance = 200 feets

The angle of elevation :

Using trigonometry :

Tanθ = opposite / Adjacent

Tan θ = 5 / 200

Tan θ = 0.025

θ = tan^-1 (0.025) = 1.43

θ = 1.4°

what is the common difference, d, of the sequence?

Answers

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Brainlist maybe?

Need help please!!! Its due in 15 minutes :(

Answers

Answer:

y=-2x+b

Step-by-step explanation:

The slope ("m") is 2... rise over run, the line goes up two, and then to the side once, which is 2/1 (aka 2). Since the line is going downhill, it is negative.

Josie is making pizza dough. Complete the double number line by filling in the missing values

Answers

Answer:

[tex]n = \frac{4}{3}c[/tex]

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

[tex](c_1,n_1) = (\frac{3}{4},1)[/tex]

[tex](c_2,n_2) = (3\frac{3}{4},5)[/tex]

First, calculate the rate of change (i.e. slope, m):

[tex]m = \frac{n_2 - n_1}{c_2 - c_1}[/tex]

[tex]m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}[/tex]

[tex]m = \frac{4}{3}[/tex]

So: the equation is:

[tex]n = m(c - c_1) + n_1[/tex]

This gives:

[tex]n = \frac{4}{3}(c - \frac{3}{4}) + 1[/tex]

[tex]n = \frac{4}{3}c - 1 + 1[/tex]

[tex]n = \frac{4}{3}c[/tex]

So, the above represents the relationship between n and c.

To complete the table

When [tex]n = 2[/tex]

Substitute [tex]n = 2[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]2 = \frac{4}{3}c[/tex]

Make c the subject

[tex]c = \frac{3*2}{4}[/tex]

[tex]c = \frac{3}{2}[/tex]

When [tex]n = 3[/tex]

Substitute [tex]n = 3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]3 = \frac{4}{3} * c[/tex]

Make c the subject

[tex]c = \frac{3*3}{4}[/tex]

[tex]c = \frac{9}{4}[/tex]

When [tex]c=3[/tex]

Substitute [tex]c=3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]n = \frac{4}{3} * 3[/tex]

[tex]n = 4[/tex]

So, the complete table is:

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Farmer Rew started with 92 quects on his farm. Every month, he
bought 5 more of them. Farmer Joogh started with 27 quects on her
farm. Every month, she purchased 9 more of them.

farmer's quects (y) as months (x) increase.

Answers

Answer:

y = 5x + 92

y = 9x + 27

Step-by-step explanation:

Slope intercept form is written as y = mx + b, and you know that y represents "quects" and x represents months.

For farmer Rew, b would be 92 because that is how many "quects" he started off with. m would be 5 because that is how many new "quects" he gets every month. (y = 5x + 92)

For farmer Joogh, b would be 27 because she started off with 27 "quects." m would be 9 because she gets 9 new "quects" every month. (y = 9x + 27)

80 kg= ______ g

what goes in the blank?
and how do I show my work?

correct=brainliest?

Answers

Answer:

80000

Step-by-step explanation:

u times 80 by 1000

What does the image show?
(The whole thing, not just the points)
ns
a ray
O O
a line
eys
a line segment
a point
>

Answers

Answer:

This line is aray because it has a beginning and it has no end

Find the value x such that the data set has the given mean.
101,119,104,111,109,x mean 113
X=?

Answers

Answer:

x = 134

Step-by-step explanation:

The mean of a data set is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Here mean = 113, then

[tex]\frac{101+119+104+111+109+x}{6}[/tex] = 113

[tex]\frac{544+x}{6}[/tex] = 113 ( multiply both sides by 6 )

544 + x = 678 ( subtract 544 from both sides )

x = 134

1000 in scientific notation.

Answers

Answer:

1 x 10^3

Step-by-step explanation:

[tex](\frac{1}{8} + 2a)^{2}[/tex]

Answers

Answer:

1/64+2*1/8*2a+4a^2= 1/64+a/2+4a^2

Step-by-step explanation:

The difference of a number and 4 is no more than 8

Can someone help!?

Answers

Considering the definition of an inequality, the number must be less than 12.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that the difference of a number and 4 is no more than 8.

Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is

x - 4 < 8

Solving:

x < 8 +4

x < 12

Finally, the number must be less than 12.

Learn more about inequality:

https://brainly.com/question/17578702

https://brainly.com/question/25275758

https://brainly.com/question/14361489

https://brainly.com/question/1462764

first come first served brainiest

Answers

Answer:

1.) 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.

2.) 8

3.) 201 square inches

Step-by-step explanation:

10 grade geometry, help me pleaseeeee

Answers

Answer:

Obtuse

Step-by-step explanation:

[tex]10^{2} > 3^{2} + 9^{2}[/tex]

y=-3x+6
y=-6x+9

How do I solve this using substitution?

Answers

Answer:

x=1

y=3

Step-by-step explanation:

y=-3x+6

y=-6x+9

replace y with y

-3x+6=-6x+9

combine like variables

3x=3

x=1

substitute 1 for x to get y

y= -3(1)+6

y=3

Answer: 1. y=3x+6 = x=

−1

3

y+2

2. y=-6x+9 = x=

−1

6

y+

3

2

Step-by-step explanation:

ITs easy

help? please and thank you hehe

Answers

Answer:

RT i think

Step-by-step explanation:

Answer:

C. RT would be the correct choice.

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