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Consider the linear function that is represented by the equation y = negative 10 x + 6 and the linear function that is represented by the equation y minus 36 = 8 (x minus 4). Which statement is correct regarding their slopes and y-intercepts?

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honeynoodles

Answer: The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.

Step-by-step explanation: I took the unit test on edge hoped this helped <3

facundo3141592

We want to compare the slopes and y-intercepts of two given linear functions.

The comparations that we can make are:

  • The first line has a larger y-intercept.
  • The second line has a larger slope.

The general linear function in the slope-intercept is:

y = a*x + b

where a is the slope and b is the y-intercept.

Here, the two given lines are:

y = -10*x + 6

(here we can see that the slope is -10 and the y-intercept is 6).

The other line is:

y - 36 = 8*(x - 4)

Writing this in the slope-intercept form we get:

y = 8*x - 8*4 + 36

y = 8*x - 32 + 36

y = 8*x + 4

Then the slope is 8 and the y-intercept is 4.

Then the comparations that we can make are:

  • The first line has a larger y-intercept.
  • The second line has a larger slope.

If you want to learn more, you can read:

https://brainly.com/question/21835898

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