Which linear function equation would contain the points below? (-6,-8) and (12,4)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Let's substitute the values from the given points into the formula:

m = (4 - (-8)) / (12 - (-6))

m = (4 + 8) / (12 + 6)

m = 12 / 18

m = 2/3

Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).

Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:

-8 = (2/3)(-6) + b

-8 = -12/3 + b

-8 = -4 + b

b = -8 + 4

b = -4

Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.

Answer 2

Answer:

Final answer:

The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.

Explanation:

The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.

Learn more about Linear Function Equation here:

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1)what is the y-coordinate of the solution to the system of equations?

x-y=12
27+3y=2x

2)what is the y-coordinate of the solution to the system of equations?

y=2x+14

-4x-y=4

Answers

ok so basically solve for y

x-y=12
27+3y=2x

27+3y=2x
subtract 3y from both sides
27=2x-3y
2x-3y=27

x-y=12
multiply by -2
-2x+2y=-24

add them
2x-3y=27
-2x+2y=-24 +
0x-1y=3

-y=3
y=-3
y coordinate is -3

2.
y=2x+14
-4x-y=4

y=2x+14
subtract 2x from both sides
y-2x=14
mulitply both sides by -2
-2y+4x=-28

add the 2 equations

-2y+4x=-28
-y-4x=4 +
-3y+0x=-24

-3y=-24
divide both sides by -3
y=8

y coordinate is 8

1. y coordinate is y=-3

2. y coordinate is y=8

Answer:

1. -3

2. 8

Step-by-step explanation:

Write the equation of the line that passes through the points (3,1) and (-2,6)

Answers

$slope = y2 - y1 / x2 - x1$

$6 - 1 / - 2 - 3$

$5 / - 5$

$- 1$

$y = mx + c$

$1 = - 1 * 3 + c$

$1 = - 3 + c$

$1 + 3 = c$

$c = 4$

$y = - 1x + 4$

$y = - x + 4$

EXTRA CREDIT MATH HELP!!! (2/6)

Answers

6.75x-9

2.25x-3(3) is how you set this up to calculate perimeter.
the answer is 6.75x-9

plz mark brainliest

How do you do the work for

$43 dinner; 18% gratuity

Answers

The total cost of the dinner with gratuity is $50.74Add the gratuity to the regular price. Method 2: Add the percent of gratuity to 100%. 100% + 18% = 118% The total cost is 118% of the bill. Method 1: Add gratuity to the regular price. Find the gratuity.

Start by calculating just the gratuity by itself. We know its 18% of $43. Another way to write 18% is 0.18 so:
$G=$43 * 0.18$
$G=$7.74$

So just the gratuity by itself is $7.74. If you want to know the entire bill you can add up the meal and the gratutiy like so

$T= Meal + Gratuity$
$T = 43 + $7.74 = $50.74$

Another way to do it is to recognize that you are paying for 100% of the meal and then paying antoher 18% AGAIN for a total of 118% or 1.18. If you do this you get the same answer:

$$43 * 1.18 = $50.74$

using the tables presented in your reading material,find the maturity value of a $1 at a compound interest rate of 9% over 4 periods.a.1.3859 b.1,4116 c.1,4641 d.1,4661

Answers

The value is 1 dollar.
With compound interest rate of 9% over 4 period.
=> 1 dollar * .09 = 0.0081
=> 1.0081 * 0.09= 0.090729
=> 0.090729 + 1.0081 = 1.098829
=> 1.098829 * .09 = 0.09889461
=> 1.098829 *+ 0.09889461 = 1.19772361
=> 1.19772361 * .09 = 0.1077951249
=> 1.19772361 + 0.1077951249 = 1.3055187349
Or 1.31

Answer:

b. $1,4116

Step-by-step explanation:

just look in the chart it shows you the answer

For the first 3 years of a horse's life, the weight, w (in kilograms), of the horse approximately fits the formula w(t)=30+170t, where t is the age of the horse in years. Which of the following is the most accurate interpretation of the slope of the line represented by this formula? A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life.
B. The slope is 30. This means that the horse gains a total of 30 kilograms in the first 3 years of its life.
C. The slope is 30. This means the horse gains on average 30 kilograms per use for the first 3years of its life.
D. The slope is 170. This means that the horse gains a total of 170 kilograms in the first 3 years of its life.