what is an equation of the line that passes through the points (4,-6) and (8,-4)​

What Is An Equation Of The Line That Passes Through The Points (4,-6) And (8,-4)

Answers

Answer 1

Answer:

[tex]y = \frac{1}{2} x - 8[/tex]

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 (-2 on both sides)

c= -8 (simplify)

Thus, the equation of the line is y= ½x -8.


Related Questions

If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale factor used to draw the scaled copy

Answers

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

4-3x = 2x-6 what is x

Answers

Answer:
x=2

Explanation:
4-3x=2x-6
Combine like terms by moving the variable to one side and other values to the other side
-3x-2x=-6-4
-5x=-10
Divide both sides by -5 to cancel it out on the left side
-5x/-5=-10/-5
x=2

I hope this helps! Please comment if you have any questions.
The answer would be x=2

9x+y=8 solve for y I dont know how to get y by itself im very confused pls hellp

Answers

Answer:

Hey angel i have missed talking to you on padlet and i hope we are still friends

Step-by-step explanation:

Step-by-step explanation:

subtract 9x from both sides

y = -9x+8

A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N

Answers

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter

Guys I really need help!
The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .


TrueFalse

Answers

Answer: false

Step-by-step explanation:

Answer:

Yes absolutely true i took the lesson

Step-by-step explanation:

52 regular playing cards are randomly dealt to four players with each players receiving 13 cards. What is the probability that each player will have exactly one ace

Answers

Answer:

The probability is 1/28,561

Step-by-step explanation:

Here, we want to find the probability that each of the players will receive exactly one ace.

In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.

So, the probability of getting an ace for each of the four players will be 4/52 = 1/13

Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.

mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561

A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp

Answers

Answer:

The total number of pages from page X to page Y is Y minus X plus 1.

So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.

Step-by-step explanation:

the midpoint of ab is m (3,-4). If the coordinates of A are (8,-5), what are the coordinates of B

Answers

Answer:

work is attached and shown

The coordinates of the midpoint will be (-2,-3).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).

The midpoint will be calculated by using the formula below:-

( 8 + x ) / 2 = 3

( 8 + x ) = 6

x = -8 + 6 = -2

( -5 + y ) / 2 = -4

( -5 + y ) = -8

y =  -8 + 5 = -3


Therefore, the coordinates of the midpoint will be (-2,-3).

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HELP ME PLS I NEED THIS !!!

Answers

Step-by-step explanation:

here is the answer with the solution.

-5 + a =21 what’s A?

Answers

Answer:

A=21+5

A=26

Step-by-step explanation:

just shift 5 to right side

PLEASE HELP! convert y=1/3x+9 to POINT SLOPE form

Answers

Answer:

y-10=1/3(x-3)

Step-by-step explanation:

I really don't want to explain, but tell me if you want an explanation and I will give it

Eliminate the y in the following system of equations. What is the result when you add the two equations?
x+y=2
3x-4y=27

A.7x=29
B.x=-23
C.7x=35
D.4x=29

Answers

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

Can anyone help me?

Joseph Cheyenne is earning an annual salary of $24,895. He has been offered the job in the ad. How much more would he earn per month if he is paid:
a. the minimum?
b. the maximum?

Answers

The maximum would be a because he has 24,895

The correct option will be the option b i.e., the maximum.

It is given that Joseph is earning an annual salary of $24,895. Later he is offered with an ad.

We have to choose the correct option i.e., the minimum or the maximum he would earn per month if he is paid.

What would be the value if x is added to 40 ?

The value will be 40 + x.

Let's assume Joseph is paid $ x for the ad.

Annual salary of Joseph $24,895.

The salary which he will get after the ad offer will be ;

= 24895 + x

So , the annual salary get's increased after the addition of salary of ad offer.

Thus , the maximum Joseph would earn per month and the correct option is option b.

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What’s the second step of 2(x+1) =8x-5

Answers

Answer:

2(x + 1) = 8x - 5

assuming you already made the first step, the next step is to distribute the 2

2x + 2 = 8x - 5

if you havent made the first step, above is the first step.

the second step would be to combine like terms by subtracting 2x and adding 5 to both sides

7 = 6x

then you would divide both sides by 6

x = 7/6

Drag the red vertical line to find the y–values: Orange graph:> when x 1, y = Blue graph: when x 1, y =

Answers

Answer:orange graph =-2

Blue graph -2 or 2

Step-by-step explanation:

The value of the orange graph at x=1 is y = [tex]\rm \pm[/tex]2,  the blue graph has the value y = -2.

What is a Graph?

A graph is a display of the ordered pairs of a function.

The orange graph is a parabola and the blue graph is a straight line.

The intersection of both the graphs is at x =1

when x =1 , the orange graph has a value y = [tex]\rm \pm[/tex]2

when x=1, the blue graph has value y = -2

Therefore, the value of the functions has been determined at x = 1.

The complete question is attached with the answer.

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y is directly proportional to x when y=30, x=6
a) work out an equation connecting y and x
b) work out the value y when x=12

Answers

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]

Explain their mistake. Will give brainliest

Answers

Answer:

a²+b² =c²

10²+z²=13²

z² = 13²-10²

z =square root of (169-100)

this is a right triangle and 13 side is the hypotenuse (the longest side)

what would be 30 +40

Answers

Answer:

70

Step-by-step explanation:

30 + 40 = 70

If you take zero + zero you get zero soo then you would take 3+4 and you get 7 so you answer will be 70

A freight company using a semi truck has been hired to transport a container with a mass of 64,0000 mg. The truck can carry a maximum load of 5920 kg. Can the truck safely carry the container?

Answers

Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

Joe works for McDonalds. He was required to buy a uniform that costs $35 and he will earn $10 per hour. The
following function represents his overall income the first month. f(h) = 10h - 35. The h represents the hours he
works. What is the independent variable?

Answers

Answer:

The independent variable is the number of hours Joe works.

Ninety-two is all of the following except _____.

a term
an expression
a constant
a variable

Answers

Answer:

hello!

ninety two is a term, an expression, a constant but not a variable

hope it helps you!

Answer:

Ninety-two is all of the following except a variable

the product of -3 and the square of a number decreased by 8.

Answers

Answer:

[tex]n^{2}(-3) -8[/tex]

Step-by-step explanation:

So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.

This is what we have so far,

[tex]n^{2} \\[/tex] x -3 or [tex]n^{2}[/tex](-3)

The term decreased means to reduce or subtract. Which means we are left with....

[tex]n^{2}(-3) -8[/tex]

Hope that helps and have a great day!

Suppose S is between R and T. Use the Segment Addition Postulate to solve for z.. RS=2z+6, ST=4z−3, RT=5z+12

Answers

Answer:

9

Step-by-step explanation:

If S is between R and T, then RS+ST = RT

Given the following parameters

RS=2z+6,

ST=4z−3,

RT=5z+12

On substituting

2z+6+4z-3 = 5z+12

Collect like terms

2z+4z-5z = 12+3-6

6z-5z = 15-6

z = 9

Hence the value of z is 9

Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does Erica have left to run?

Answers

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

HELP ASAP my answer is B im pretty sure im wrong..

Answers

The answer is A ..........

Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?

Answers

Answer:

9 inch by 15 inch

Step-by-step explanation:

45/5=9 in

75/5=15 in

60 is 1/100 of _______

Answers

Answer:

that is 60 percent (calculated percentage %) of number 100? Answer: 60.

What value of x makes the equation true?
147 = 5(1 - 7x) + 2

Answers

Answer: X = -4

Step-by-step explanation:

first you need to solve, so do what needs to be done in the equation, which is just multiply and add

147 = 5 - 35x + 2

147= 7 -35x

get rid of the numbers around x, which would be subtracting 7 from both sides

140 = -35x

x = -4

(4 x 10^-2) x (1 x 10^5)
A) 5 x 10^3
B) 4x 10^3
C) 4 x 10^-7
D) 4 x 10^-10

Answers

Answer:

the answer is b!!

Can someone help please

Answers

Answer:

[tex]x > \frac{16}{3} [/tex]

Step-by-step explanation:

[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]

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