Which equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis.?

y equals negative StartFraction 5 Over 8 EndFraction x plus 6.
y equals negative StartFraction 5 Over 8 EndFraction x plus 16.
y equals negative StartFraction 15 Over 8 EndFraction x plus minus 49.
y equals negative StartFraction 15 Over 2 EndFraction x plus 71.

Respuesta :

Answer: option A

(A)  y= -5/8 x + 6      <========+ 100%

Step-by-step explanation:

Which equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis.?  

y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

y equals negative StartFraction 5 Over 8 EndFraction x plus 16.

y equals negative StartFraction 15 Over 8 EndFraction x plus minus 49.

y equals negative StartFraction 15 Over 2 EndFraction x plus 71.

The line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis  is y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

What is equation representation?

An equation is written as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are called the "left-hand side" and "right-hand side" of the equation.

According to question

Equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis means :

We want a line that passes through the point (4, 7/2)

We know that a line can be written as:

y = a*x + b.

Now we want that, when x = 4, we must have y = 7/2.

7/2 = a*4 + b

b = -a*4 + 7/2

Then we can write this line as:

y = a*x - a*4 + 7/2.

Where a can take any value, and it is the slope of our line.

Now according to option we will check which will satisfy the condition

y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

y=-5/8x + 6

putting x value x = 4

y=(-5/8)*4 + 6

y = -5/2 + 6

y= 7/2 which satisfy our condition

Hence, y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

Is the one which satisfy our condition .

To know more about equation representation here :

https://brainly.com/question/12934362

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