Subtract (9x + 7) from (x<br> (x

A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over

nalin [4]

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

<h3>Equation of the line</h3>

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

$(y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)$

Where $(x_1,y_1)$ and $(x_2,y_2)$ are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

$(y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\$

Divide by 2 both the side,

$y=2x-4$

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

$y=2x-4$

Hence the option 3 is the correct option.

Learn more about the equation of the line here;

brainly.com/question/2564656

7 0

3 years ago

Consider the equation: 3 4 x − 12 = 12 Which statement could be a translation of the given equation? A number minus 12 is three-

musickatia [10]

Answer:

<h3>The translation statement for the given equation $\frac{3}{4}x-12=12$ is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

Step-by-step explanation:

Given equation is $\frac{3}{4}x-12=12$

<h3>To find the statement which could be a translation of the given equation :</h3>

$\frac{3}{4}x-12=12$
The above equation can be written as
Three-fourths of a number x minus twelve is equal to twelve.

<h3>Therefore the translation statement for the given equation $\frac{3}{4}x-12=12$ is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

The option is <u> " Three-fourths of a number minus twelve is the same as twelve. "</u> correct

4 0

4 years ago

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Round 24.5834 to 2 decimal places

weqwewe [10]

Answer:

24.58

Step-by-step explanation:

3 0

3 years ago

Just the answer Please hurry

kaheart [24]

Answer:

We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.

We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.

Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.

Therefore, we can see that car travels 34 miles in one gallon of gas.

Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.

Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.

Therefore, car need 17 gallons of gas to travel 578 miles.

Step-by-step explanation:

5 0

3 years ago

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Write an equation of a line that passes through (-3,1), perpendicular to Y=-3x-3

Sever21 [200]

Answer:

4

Step-by-step explanation:

To be perpendicular, the product of the slope is -1.
(x,y) Substituting the coordinates.
y= 1/3(x+3) + 1
y= 1/3x +2

5 0

2 years ago

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Subtract (9x + 7) from (x (x - 5)