Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)

Answers

Answer 1

Answer:

point - slope form

 y - 1 = 3 (x-0)

Step-by-step explanation:

step(i):-

Given points are (0,1) and (2,7)

The slope of the line

     [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

    [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2} = 3[/tex]

  m =3

Step(ii):-

point -slope form

   y - y₁ = m(x-x₁)

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3

   y - 1 = 3 (x-0)

  y -1 = 3x

 3x - y +1=0

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0


Related Questions

in a poll last year, the residents of a town were asked to rate the mayor on a scale of -10 to 10 points. The mayor received an average
approval rating of -2.5 points. This year, the mayor's average approval rating decreased by 0.75 points.
What is the mayor's average approval rating this year?
Enter your answer in the box.

Answers

Answer:

-3

Step-by-step explanation:

   

5/8 times 1/12. give answer in simpliest form

Answers

Answer:

5/96

Step-by-step explanation:

5/8*1/12
Multiply across so 5*1 and 8*12
Answer is 5/96

Can someone help me

Answers

Answer:

Number of stars: 2+2+2+2+2+2

=6×2

Step-by-step explanation:

The stars are added in pairs of two. The pair that is 2+2+2+2+2 is five groups of 2 or 2 groups of five.

Since another pair of two wad added, there is one more pair. Instead of 5×2

Which means 5 groups of 4, it is not 6 groups of 2. I hope I helped you! Have a good day :3

Pls help me im confused

Answers

Answer:

c=36p+36

Step-by-step explanation:

Okay so the cost of the meal without tip is $36. To find the tip, we would multiply p by 36. To find our total (c), we would add this (36p) to the original 36.

In other words:

c=36p+36

(can also be written as c=36(1+p) )

log 8 - 3 logt = 3
3​

Answers

Answer:

I think so

Step-by-step explanation:

Suppose that a random sample of 10 adults has a mean score of 62 on a standardized personality test, with a standard deviation of 4 . (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a 90% confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the 90% confidence interval.

Answers

Answer:

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645*\frac{4}{\sqrt{10}} = 2.08[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92

The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

2x-6=-2
Find the value of x(please help y’all I’ll give the first CORRECT answer Brainliest)

Answers

Step-by-step explanation:

2x-6 = -2 Add 6 to both sides

2x = -2 + -6

2x = -8 Divide both sides by 2

x = -8/2

x = -4 the answer

Diane is making chair covers to sell. She has a bolt of fabric that is 20 yards long. If each chair requires 3 2/5 yards of fabric, how many chair covers will Diane be able to make

Answers

Answer: alo mwen panse ke li ta dwe 3/6

Step-by-step explanation:

ou konnen mwen te u konsa 7 ajoute ke epi pou yo jwenn 10 shawty

The number of chair covers Diane will be able to make is 5.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Length of the fabric = 20 yards

Length of fabric needed for each chair cover = 3(2/5) yards

The number of chair covers that can be made with 20 yards.

= 20 ÷ 3(2/5)

= 20 ÷ 17/5

= 20 x 5/17

= 100/17

=  5.8

= 5

Thus,

The number of chair covers is 5.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

when solving the system using the additional/elimination method, which variables will cancel?

Answers

Answer:

the x terms

Step-by-step explanation:

there is a +x and a -x.

x-x=0,

x will cancel out

Who can answer this question for me please

Answers

Answer:

B

Step-by-step explanation:

write the 0.216 in the form of p by q​

Answers

Answer:

27/125

Step-by-step explanation:

Given the decimal value 0.216, we are to express as a fraction in the fofrm of p/q

0.216 = 216/1000

216/1000 = 2 * 108/2 * 500

216/1000 = 108/500

108/500 = 4*27/4*125

108/500 = 27/125

Hence the expression in form p by q is 27/125

Can someone help me on this plzzzzzzzzzz !

Answers

The answer is C because when u add all those up it makes this answer

URGENT URGENT PLEASE

Answers

Answer:

Question 15: x = 17

Question 16: area = 5610 units

Step-by-step explanation:

Question 15:

The perimeter is the sum of all sides of a triangle.

It is given that the perimeter is 374 units.

[tex]p = 8x - 4 + 9x + 4 + 4x + 17[/tex]

[tex]374 = 8x - 4 + 9x + 4 + 4x + 17[/tex]

Add all the like terms.

[tex]374 = 21x + 17[/tex]

Subtract 17 from both sides.

[tex]357 = 21x[/tex]

Divide by 21 from both sides.

[tex]17 = x[/tex]

Question 16:

The area of a triangle can be found by using the following formula:

[tex]a = \frac{1}{2} bh[/tex]

(where a is the area, b is the base, and h is the height)

Using the value of x you just found previously (17), you can calculate the base and height by substituting 17 with x in their respective equations.

[tex]h = 8x - 4[/tex]

[tex]h = 8(17) - 4[/tex]

[tex]h = 134[/tex]

[tex]b = 4x + 17[/tex]

[tex]b = 4(17) + 17[/tex]

[tex]b = 85[/tex]

Now that you found the base and height, substitute the values, 134 and 75, into the area of a triangle formula.

[tex]a = \frac{1}{2} bh[/tex]

[tex]a = \frac{1}{2} (85)(132)[/tex]

[tex]a = 5610[/tex]

Zada needs to simplify the expression below. 72 – 4 × 12 ÷ 6 Which solution for Zada’s expression is correct?
F. 408, because 72 – 4 is 68, 12 ÷ 6 is 6, and 68 × 6 is 408

G. 64, because 4 × 12 is 48, 48 ÷ 6 is 8, and 72 – 8 is 64

H. 4, because 4 × 12 is 48, 72 – 48 is 24, and 24 ÷ 6 is 4

J. 136, because 72 – 4 is 68, 68 × 12 is 816, and 816 ÷ 6 is 136

Answers

Answer:

order of operations matter here so

72 - 4 × 12 ÷ 6

start with 4 × 12 (which equals 48)

72 - 48 ÷ 6

next is 48 ÷ 6. (which equals 8)

72 - 8 = 64

so g is correct

Theres more then one! wich of these numbers are written in scientific notation!
1. 7.22 x 10^0
2. 3.8 x 5^4
3. 6.04 x 10^-7
4. 8.9 x 10^-2
5. 0.92 x 10^3
6. 23 x 10^9
Which oneS are written in CORRECT scientfic notation ! more then one!!

Answers

Step-by-step explanation:

0.92×10^3

I think it helps you

HELP!!!!!!!!!!!!!!!!!!

Answers

Answer:

Concept: Area

Area= (3.14)r^2 Hence 3.14 * 7^2 3.14* 49 =153.86Divide by 4 for the qualifications 153.86/4= 38.47
38.47 is your answer. Remember pi is 3.14 so you the formula

-3x+2y=-10 and -2x+y=-6 solve by elimination

Answers

Step-by-step explanation:

-3x+2y=-10

-2(-2x+y=-6)

-3x+2y=-10

4x-2y=12

-3x=-10

4x=12

x=2

The answer is for that is (22/3,6).

Ok I need help!!


Angie is goin to the store to buy food. Her mom gave her 10$ for food and 3$ for whatever she wanted. She buyed a book for 1,50$, and it was on 60%. And she also buyed some candy for 1$. She buyed food for 9,28$

SO the questan is: is she over or under the price?
Im not good at math but whatever

Answers

Answer:

she would be under $13

Step-by-step explanation:

1.50+1= 2.50+9.28= 11.78 leaving her with a remaining balance off $1.22

Monomials that have the same variable raised to the same power, Only the coefficients of like terms can be different. A Exponents BIrrational Number C Rational Number D Like Terms​

Answers

Answer:

B

Step-by-step explanation:

1) 4n - 2n = 4
Solve the equation.

Answers

Answer:

n=2

Step-by-step explanation:

2n=4

n=2

Answer:

= 2

Step-by-step explanation:

Please mark brainliest :)

Hope this helps

Have a great day!!

Please answer accurately and show work if you can

Answers

Answer:

A. a - 3 ≤ -5

Step-by-step explanation:

Move all terms with a to the right side of the inequality

Which number is smaller? )
38
Same
38

Answers

Answer:

None

Step-by-step explanation:

They are both the same so they would be equivalent

Answer:

they are equal are you ok?

Step-by-step explanation:

need help asap please !!

Answers

V=31

Explanation
3(31)-71=22 and 31-9=22 meaning that they both have a side length of 22

What is the constant of proportionality as shown in the graph?

Answers

Constant of proportionality = how much it goes up by

60/3 = 20

Solution: the constant is 20

Find the measure of one interior angle for a regular 21 gon

Answers

Answer:162.9

Step-by-step explanation:I gotchu

Simplify
12e^5 ÷ 3e^3​

Answers

Answer:

[tex] 4 {e}^{2} [/tex]

Step-by-step explanation:

[tex]12e^5 ÷ 3e^3 \\ \\ = \frac{\cancel {12} {e}^{5} }{\cancel 3 {e}^{3} } \\ \\ = 4 {e}^{5 - 3} \\ \\ = 4 {e}^{2} [/tex]

what is 5 divided by 4?

Answers

Answer: 1.25

Step-by-step explanation: 5 / 4 = 1.25

1.25 :) hope you have a wonderful day

through: (6, 2), perpendicular to
y = -x-5
in slope intercept form

Answers

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

Find the value for the following determinant.





-5
5
11

Answers

Answer:

5

Step-by-step explanation:

So you have cross the multiply and subtract 2×4-3×1 solve

The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.

Scale factor: 4:5

Surface area: 160

volume: 704

Surface area: ?

volume: ?

Answers

Answer:

Surface area: 250

Volume: 1375

Step-by-step explanation:

Scale factor: 4:5

This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So

[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]

Volume:

The volume is found multiplying the cube of the change(5/4) by the original volume(704). So

[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]

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