What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
the slope is negative five-halves, and the y-intercept is 4.
the slope is five-halves, and the y-intercept is 4.
the slope is 4, and the y-intercept is negative five-halves.
the slope is 4, and the y-intercept is five-halves.

The slope is 4, and the y-intercept is Negative five-halves

Given that,

Based on the above information, the calculation is as follows:

8x - 2y = 5

We know that y = mx + b

Here  

m is the slope

b is the y-intercept

Isolate the variable y

So,

-2y = -8x + 5

Now divide 2 by both sides

So,

m = 4

And b

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The slope is 4, and the y-intercept is Negative five-halves

Step-by-step explanation:

we have

This is the equation of the line in standard form

Convert the equation in slope intercept form

where

m is the slope

b is the y-intercept

Isolate the variable y

Subtract 8x both sides

Divide by -2 both sides

therefore

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

the correct answer is 1: 2

step-by-step explanation:

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