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What is the slope of the line? What is the y-intercept of the line? y = -x - 6

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Answer:

m = -1

y intercept = -6

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = -x -6[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

  • m is slope
  • c is y intercept .

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = -1 [/tex]

[tex]\implies y - intercept= -6 [/tex]

Answer:

Slope: -1

Solution:

  • This equation is written in slope-intercept form (y=mx+b).
  • In this formula, "m" stands for the line's slope and "b" stands for the y-intercept of the line.
  • Also, please notice that the slope of the line is the coefficient of x (the number next to x)
  • If we don't have a number next to x, then the coefficient is equal to 1.
  • If we have a minus sign next to x, then the coefficient is equal to -1.
  • Therefore, the slope of the line is -1.
  • Now, the y-intercept is a constant that's subtracted from/added to the slope.
  • Therefore, the y-intercept of the line is -6.

Hope it helps.

Do comment if you have any query.

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