Mathematics High School

which is the equation of the line that passes through the points (4,3) and (6,2)

Answers

Answer 1

Answer:

y = -1/2x + 5

Step-by-step explanation:

Find slope:

change in y/change in x

(2-3)/(6-4)

-1/2 = m

Use point-slope form:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, let's use (4,3)

y - 3 = -1/2(x - 4)

Point-intercept form:

Expand y - 3 = -1/2(x - 4) to get point-slope form:

y = -1/2x + 5

Hope this helps!! :)

Related Questions

Please help me with the questions please ASAP ASAP please ASAP help

Answers

Answer:

A. x = 2, y = 12

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar because each of the two legs of the triangles are cut in half, meaning the line 5x - 3 is parallel to x + 12. Because of the nature of this figure (the line that is length 5x - 3 cuts the triangle exactly halfway), you can write an equation to find x:

2(5x - 3) = x + 12 (this is a property of triangles when a line is parallel to a base and intersects the triangle at half of that base's height. The line would be half the base)

10x - 6 = x + 12 (simplify)

9x - 6 = 12 (subtract x from both sides)

9x = 18 (add 6 to both sides)

x = 2 (divide both sides by 9)

At this point, you could just click A since that's the only problem where x = 2, but for the sake of properly explaining this problem, I'll continue to find y.

In the image, y + 8 is equal to 2y - 4, shown by the short lines intersecting each side signifying congruence. Now, you can write an equation for this and solve:

y + 8 = 2y - 4

8 = y - 4 (subtract y from both sides)

y - 4 = 8 (switch it around so y is on the left; you don't have to do this, but I think it makes the problem more comfortable to solve)

y = 12 (add 4 to both sides)

3. You are saving money to buy a new bike that costs $360. You
already have $85 and can earn $12 per hour at work. Write
and solve an equation to find how many hours, h, you need to
work to earn enough money to buy the new bike.

Answers

Answer:

22

Step-by-step explanation:360-85=275, 275 divided by 12.

What is the circumference of a circle whose radius is 1.3 cm? Find the circumference using the formula C=2πr

Answers

Answer:

C≈8.17cm

Step-by-step explanation:

C=2πr=2·π·1.3≈8.16814cm

Find the value of |5| - 4(3 to the second power - 2).

Answers

Answer:

4.55

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5. What is the inverse function of ​

Answers

Answer:

i think that it is. C.

i think it will help

I also think it’s C
Hope that helps!

I need help on this quick check

Answers

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

The perimeter of a rectangle is 26 inches. If the length of the rectangle is 6 inches, find the width.

Answers

Answer:

7 inches

Step-by-step explanation:

The perimeter of a rectangle = 2 x ( length + breadth)

26 = 2 x (6 + breadth)

Divide both sides of the equation by 2

26/2 = 6 + width

13 = 6 + width

Collect like terms

13 - 6 = width

width = 7 inches

PLEASE HELP I NEED THIS ASAP
solve the following equation for the value n. SHOW YOUR WORK!!!
​

Answers

Answer:

n=2

Step-by-step explanation:

16+6n=7(6-n)

16+6n=42-7n

-16 +7n -16 +7n

13n=26

13n/13=26/13

n=2

plz besties can you help me
[tex] {3}^{x + 1} \times 5 - 4 \times {3}^{x + 2} = - \frac {7}{3} [/tex]
I need the value of x​

Answers

the answer would be x= -2

If the Math Olympiad Club consists of 15 students, how many different teams of 3 students can be formed for competitions?

Answers

Answer:

5 teams

15÷3=5

Have a great day

Answer:

5 teams

Step-by-step explanation:

There are 15 students, and 3 students per team. Divide 15/3 and you get 5.

HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE!!:)

Answers

D because the radical simplified is -sqrt of 6 / 3 and when you multiply D with the radical it gives you that answer.

HELP ME PLEASE MATH MATH HELP ASAP ASAP ASAP ASAP ASAP HELP PLEASE PLEASE PLEASE HELP HELP HELP ASAP PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP HELP MATH MATH MATH MATH

Answers

Part D: x= -b/2a

(-1/3, -4/3)

im sorry if this is wrong ;'(

Answer:D

Step-by-step explanation:

D will go with each funcuation.

The bearing of a plane from an airport is 65 degress.Calculate the bearing of the airport from the plane

Answers

Answer:180+65=245, your answer is 245 degrees.

Step-by-step explanation:

What is the midpoint of AB?

Answers

It looks like Point G is correct

(3x^4=2x+1)-(2x^4-3x+5)

Answers

Multiply to remove the fraction, then set equal to
0
0
and solve.
Exact Form:
x
=
17
19
x
=
17
19
Decimal Form:
x
=
0.89473684
…
x
=
0.89473684

Find the measure of each numbered angle on this Triangle.

Answers

Answer:

m<1 = 69

m<2 = 37

m<3 = 106

m<4 = 21

Step-by-step explanation:

What is the distance between (-1,3) and (4,2)

Answers

Answer: 6

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Find x given y = 18° in the figure below.
x =

Answers

The two angles are vertical angles so they are congruent.

3x+18=5x

2x=18

x=9

5x=3x+y
5x-3x=18
2x=18
x=18/2
x=9

3•9+18=27+18=45
5•9=45
Angles have the same measure.

Jose is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Jose need to invest, to the nearest cent, for the value of the account to reach $152,000 in 9 years?

Answers

Answer:

P≈ 87784.11

Step-by-step explanation:

i don't know,  I saw the solution on Delta Math

​

According to the bar graph, which teacher gave 16 minutes of homework on Wednesday?

Answers

Ms.Jones gave sixteen minutes of homework

4(−3x+8)=−16 Which value is the solution to the equation below?

Answers

Answer:

I'm 99.9% sure that x=4

Step-by-step explanation:

The answer is X=4 explanation in picture

how do i put it on the line?pls help meee

Answers

The pic is blank on my end repost it.

Written in slope-intercept form, the equation Ax + By = C become

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

Ax + By = C ( subtract Ax from both sides )

By = C - Ax ( divide all terms by B )

y = [tex]\frac{C}{B}[/tex] - [tex]\frac{A}{B}[/tex] x , that is

y = - [tex]\frac{A}{B}[/tex] x + [tex]\frac{C}{B}[/tex] → C

1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...

2. Find the 100th term.


Please show the working. ​

Answers

the next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279


Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was the
percent of increase in the number of students from the beginning of the year to the end of the year?

Answers

First, we’re going to use this formula:

2nd number - 1st number
————————————— x 100%
1st number


If we plug in the numbers to this equation:

23-20
———- x 100%
20

And subtract 23 to 20, the answer to this equation is:

3
—- x 100% = 15%
20

In this case, the percent of increase is 15%.

HELP ME ON GEOMETRY!!! PLZ
NO LINKS! > i will report.

Answers

Answer

I believe B.)8in3 is the right answer according to the square-cube law.

Step-by-step explanation:

What is the slope of points (2,-15) and (-3,10).

Answers

Answer:

m = 5

Step-by-step explanation:

I believe you are asking, "What is the slope of the line passing through the points (2, -15) and (-3, 10)?"

As we go from (-3, 10) to (2, -15), x (the horizontal leg of a right triangle) increases by 5 (this is the 'run'), and y (the vertical leg) increases by 25 (the 'rise').  Thus, the slope of this line is

m = rise / run = 25/5, or just 5.  m = 5

What is the area of a triangle with a base of 6mm and a height of 9mm

Answers

Areaa= 0.5 b h
= 0.5 x 9 x 6 = 27 mm

*
Express the ratio 62:4 in the form n:1

Answers

15.5:1
62/4 = 15.5
15.5 : 1

The ratio 62:4 in the form n : 1 is 13 : 1.

Here,

The ratio is 62 : 4.

We have to express the ratio 62:4 in the form n:1.

What is Ratio?

A ratio is a comparison of two similar quantities obtained by dividing one quantity by the other.

Now,

The ratio is 62 : 4.

⇒ [tex]\frac{64}{4} = \frac{4}{1}[/tex]

Hence, The ratio 62:4 in the form n:1 is 4 : 1.

Learn more about the Ratio visit:

https://brainly.in/question/21176443

#SPJ2

Find the area of the figure and type your result in the empty box.
3 m
2 m
4 m

Answers

Answer:

14m^2

Step-by-step explanation:

area of triangle = 1/2bh

= 1/2(3)(4) = 6

area of rectangle = bw

=(4)(2) = 8

6+8 = 14

Answer:

14m²

Step-by-step explanation:

rectangle area= 4*2=8

triangle area= 1/2*3*4=6

total area=14

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