write the point-slope form of an equation of the line through the points (6,-1) and (5,7)

Answers

Answer 1

Answer:

y - 7 = -8 (x - 5)

Step-by-step explanation:

y2 - y1 / x2 - x1                7 - (-1) / 5 - 6           = -8

y - 7 = -8 (x - 5)


Related Questions

Given the circle with equation x+ y =17


a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work

b). Find the equation of the perpendicular bisector of the chord DE

c). Verify that the perpendicular bisector from part b) passes through the center of the circle

Answers

Answer:

Step-by-step explanation:

x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be

x^2 + y^2 = 17.

:::::

Plug the coordinates of D into the equation.

(-4)² + (-1)² = 17, so D is on the circle.

Plug the coordinates of E into the equation.

1² + 4² = 17, so E is on the circle.

:::::

Slope of DE = (-1 - 4)/(-4 - 1) = 1

Slope of perpendicular to DE is -1.

Midpoint of DE:  ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)

Point-slope equation for perpendicular bisector:

y-1.5 = -(x+1.5)

y = -x

:::::

Center of circle is (0,0)

0 = -0, so y=-x passes through the center.

Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST

Answers

Answer:
04
-15
-10
Integers cant be fractions, decimal amounts, or expressions
04,-15,-10 -4
Reason: integers cannot be mixed numbers/decimals

How bad is my friend’s handwriting


Rate from 1-10

Answers

Answer:

6

Step-by-step explanation:

Not bad, i can read it. Mines worse xd

If m = 80° and m = 40°, then m 2 =

A)20
B)40
C)60

Answers

Answer:

I think its 40 I could be wrong

Step-by-step explanation:

I had subtract 80 and 40

Solve The Inequality

Answers

Answer:

B

Step-by-step explanation:

I just solved it now

you are welcome

Answer:

x∈[13,+∞]

Step-by-step explanation:

x≥13

Who knows how to do this Bc I don’t understand

Answers

Answer:

WV should be equal to XY

Step-by-step explanation:

since it is the HL postulate meaning hypotenuse and leg, we need to show that the hypotenuses of both triangles are equal since we are already given that one of their legs are congruent. we are also given that they are right triangles.

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.

What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs

Answers

Answer:

usual number of yellow eggs = 12

Usual maximum = 21

Usual minimum = 3

Step-by-step explanation:

To solve this, we will use the expected value of a binomial probability.

The formula is;

E(X) = np

Where;

n is sample size

p is probability of success.

We are given;

n = 58

p = 21%

Thus;

usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12

From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.

Thus;

USL = n(p + 3√(p(1 - p)/n)

USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)

USL = 21.48 ≈ 21

LSL = n(p - 3√(p(1 - p)/n)

LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)

LSL = 2.87 ≈ 3

solution region of inequalities x≥ 0 and y≤0 lies in which quadrant?​

Answers

9514 1404 393

Answer:

  IV

Step-by-step explanation:

x > 0 in quadrants I and IV.

y > 0 in quadrants I and II.

The quadrant in which x > 0 and y < 0 is quadrant IV.

_____

The axes, x=0 or y=0, are in no particular quadrant. They are the boundaries between quadrants.

Help me plz I need help

Answers

Answer:

x = 14°

Step-by-step explanation:

x + 76° = 90°

or, x = 90° - 76°

so, x = 14°

What number should be added to both sides of the equation to complete the square?
X^2+126= 11

Answers

Answer:

126/2 = 63^2

Step-by-step explanation:

Kevin and Amy are working on an experiment in the
science lab. They start with 2.6 grams of oil and add water
to get exactly 4.32 grams of solution. To find the amount
of water added, they subtract the weight of the oil from the
weight of the solution. Kevin calculates the difference to
be 4.06 grams; Amy calculates it to be 1.72 grams.

Answers

Answer:

Amy is right

Step-by-step explanation:

4.32-2.6 = 1.72

Answer:

Amy is correct

Step-by-step explanation:

4.32-2.6 = 1.72

the line I is a tangent to the circle x^2+y^2=50 at the point A. A is the point (1,7). the line crosses the x axis at the point p. work out the area of triangle oap 

Answers

Answer:

what do you need help with

Step-by-step explanation:

which ordered pair is the best estimate for the solution to the system?​

Answers

Answer:

(-2, 5)

Step-by-step explanation:

Plug each ordered pair in both equations and see if they fit in BOTH equations.

HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!

Answers

Answer:

Trapezium (An acute trapezium to be exact)

Step-by-step explanation:

Draw all four co-ordinates on a cartesian plane. We know these co-coordinates are the vertices (corners), so draw a line connecting all four points and observe what shape you have.

Your reasoning for why it is a trapezium can include the following points.

Trapeziums are a flat, closed shape, having 4 straight sides, with one pair of parallel sides.

We can say its an acute trapezium since the bottom two angles are unequal and both measure less than 90 degrees

Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?

Answers

11 boxes.

Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.

HELP QUICK PLEASE!

Which additional information would suffice to prove AJKM AKIL by Side-Angle-Side?
O MK LJ
O MJ | LK
O ZJMKZKLJ
O ZJKM ZKIL

Answers

Answer:     MK is congruent to LJ

Step-by-step explanation:      If the legs of the triangle are equal then that must mean the hypotenuses are as well.

What is the slope of a line that runs through the points (-4, 2) and (-7,9)

Answers

-2 -1/3

See attached photo for more details

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Answer:

... i dont know what that means... i would comment this but i dont know how to.... so yeah

Step-by-step explanation:

Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.

Answers

Answer:

b)48 km/hr (12 km in .25 hrs)

c) avg speed: 60/3 = 20 km/hr

Step-by-step explanation:

a)

.5  18

.75 18

1      30

1.5   30

2     40

2.25  40

3        60

please help solve this (geometry)

Answers

Answer:

∠ 3 = 140°

Step-by-step explanation:

∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then

∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°

Please hurry I will mark you brainliest

The lines in which pair are parallel?

Answers

Answer:

C.

Step-by-step explanation:

Neither equation has a different slope, so they are parallel.

James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?

Answers

Last year He was 7 years old.

His father is 4 times the age 7 x 4 = 28

Last year his dad was 28, so this year he is 29.

Combined age this year = 29 + 8 = 37

51 - 37 = 14 years

14/ 2 people = 7 years

8 + 7 = 15

29 + 7 = 36

15 + 36 = 51

It will take 7 years.

Find the value of the polynomial:

Answers

Answer:

107

Step-by-step explanation:

5x⁶-3x²+7-2x⁶-3x⁶+4x²

= x²+7 (terms with x⁶ cancels out)

= (-10)²+7

= 100+7

= 107

Simplify the expression to lowest terms.
4x2-9/2 x2 + 11 x +12

Answers

11x + 11 v BBC Eva use its necessary

A is 2 times older than B. Identify the appropriate expression.

Answers

Answer:

C. 2x

Step-by-step explanation:

Let

B's age = x years

A's age = 2 times older than B

= 2 * x

= 2x years

A's age = 2x years

For instance, if B's age is 17 years

Then,

A's age = 2x

= 2(17)

= 34 years old

first answer gets marked brainliest!!!

Answers

Answer:

in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s

hope that helps ❤

What is the area of the figure below?

Answers

Answer:

25

Step-by-step explanation:

What is the equation of the line that passes through (4, -1) and (-2, 3)?

2 x + 3 y - 5 = 0
-2 x + 3 y - 5 = 0
2 x - 3 y - 5 = 0

Answers

Answer:

2x + 3y - 5 = 0

Step-by-step explanation:

(4 , -1)  & (-2,3)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}[/tex]

m = -2/3;   (4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}[/tex]

Multiply the equation by 3

3y + 3 = -2x + 8

3y = -2x + 8 - 3

3y = -2x + 5

2x + 3y - 5 = 0

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

18. The graph of f(x) = ax2 opens
upward and is narrower than the
graph of g(x) = x2. Which of the
following could be the value of a?

Answers

a could be any value less than 1

the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower

Answers

Answer:

6,750,000 cm³ = 6.75 m³

Step-by-step explanation:

a scale version means that the ratio of every dimension of scale vs. real object is 1/50.

volume is created by multiplying 3 dimensions.

so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000

so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.

or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)

that would be 6.75 m³ of metal.

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