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amm1812
3 years ago
9

NEED QUICKLY Write the equation of the line shown below?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

y = x + 2

Step-by-step explanation:

General formula for any straight line:

y = mx + c

Where

m = gradient

c = constant

m = y2 - y1/x2 - x1

m = (4 - ( -2))/(2 - ( -4))

m = 6/6

m = 1

y = (1)x + c

y = x + c

Substitute any coordinate from the line of the equation.

4 = 2 + c

c = 2

substitute m and c into general formula

y = mx + c

y = x + 2

Sedbober [7]3 years ago
7 0

Answer:

Equation  is : y = x + 2

Step-by-step explanation:

To find the equation of the we need two points through which the line passes.

Let it be (2 , 4) and ( -4 , - 2)

The standard equation of line is : y = mx + b , where m is the slope, b is the

y-intercept.

Step 1 : Find the slope, m

 slope , m = \frac{y_2 - y_1}{x_2 - x_1}                 [ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2  ) = ( -4, -2 ) \ ]

         m = \frac{-2-4}{-4-2}\\\\ = \frac{-6}{-6}\\\\ = 1

Step 2 : Find the equation of the line.

     ( y - y_1) = m(x- x_1)\\\\(y - 4) = 1 ( x - 2)\\\\y - 4 = x - 2 \\\\y = x - 2 + 4 \\\\y = x + 2

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Graphs can be used to represent functions, and vice verse

  • The values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.
  • f(x) = 5 illustrate three values of x
  • The y-intercept is 3
  • The maximum and the minimum values of the graph are 5.5 and 6
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<u>(a) The values of f(-7), f(0), f(4) and f(9)</u>

  • At x = -7, the corresponding value of the function is -6.
  • At x = 0, the corresponding value of the function is 3.
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Hence, the values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.

<u>(b) The number of values of the x at f(x) = 5</u>

At f(x) =5, the values of x are -10, 1 and 3.

Hence, f(x) = 5 illustrate three values of x

<u>(c) The y-intercept</u>

This is the point where the graph crosses the y-axis, i.e. when x = 0.

Hence, the y-intercept is 3

<u>(d) The maximum and the minimum values of the graph</u>

The highest point on the graph is (2.5,5.5), while the least point is (-7,-6)

Hence, the maximum and the minimum values of the graph are 5.5 and 6, respectively.

<u>(e) Why the graph represents a function</u>

It represents a function because it passes the vertical line test.

This in other words means that, each x value has exactly one y value

Read more about functions and graphs at:

brainly.com/question/18806107

7 0
2 years ago
On Monday, a local hamburger shop sold a combined total of 584 hamburgers and cheeseburgers. The number of cheeseburgers sold wa
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Answer:

1752

Step-by-step explanation:

5 0
3 years ago
LA Fitness charges a registration fee of $75 plus $35.75 per month for members. Gold's Gym charges a registration fee of $164 pl
kkurt [141]

Answer:

After 5 months

Step-by-step explanation:

Step one:

given data

LA Fitness charges a registration fee of $75 plus $35.75 per month for members

let the number of months be x

and the total charges be y

total is

y= 75+35.75x----------1

Gold's Gym charges a registration fee of $164 plus $17.95 for members

let the number of months be x

and the total charges be y

total is

y= 164+17.95x----------2

Step two:

equate 1 and 2

75+35.75x= 164+17.95x

solve for x

35.75x-17.95x=164-75

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divide both sides by 17.8

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Step-by-step explanation:

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