Respuesta :

Intriguing456

Answer:

D. For every 4-unit decrease in x, y increases by 3 units.

Step-by-step explanation:

We know that:

slope = rise / run

We are given a negative slope of -3/4.

This means that for:

  • every 4 units to the right (run or x)
  • the line goes down 3 units (rise or y).

This gives us:

  • rise = -3
  • run = 4

But we know that there are two ways for a fraction to be negative:

Either the numerator is negative or the denominator is negative.

Putting the negative in the denominator gives us:

slope = 3 / -4

where:

  • rise = 3
  • run = -4

This means that for:

  • every 4-unit decrease in x,
  • y increases by 3 units.

which we can identify as option D.

rvkacademic

Answer:

D. For every 4-unit decrease in x, y increases by 3 units

Step-by-step explanation:

The given line equation is

[tex]y = -\dfrac{3}{4}x + 8[/tex]

This corresponds to the slope-intercept form equation of a line
y = mx + c

where m is the slope

In the given equation, slope = - 3/4 which is the coefficient of x

Slope is the rate of change of y with respect to a unit change in x

Slope of - 3/4 means that for every unit increase in x, y decreases by 3 units

Putting this into whole numbers this means for every 4 units increase in x, y decreases by 3 units

Putting it another way, we can state that for every 4-unit decrease in x, y increases by 3 units

Answer: Option D

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