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Determine the slope and y-intercept given the equation below, explain your answer.
x + y = -1

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pcai26

Answer:

slope is -1, y-intercept is -1

Step-by-step explanation:

x+y=-1

convert to slope-intercept form

y=-x-1

y=-1x-1

slope is -1, y-intercept is -1

Solution:

Let's convert the equation into slope-intercept form.

  • x + y = -1
  • y = -x - 1

In this equation, the slope is the coefficient of x.

The following points can be made:

  • Since there is a "-" in front of the x variable, the coefficient of x is -1.
  • Since the coefficient is -1, the slope of the line is -1.

The y-intercept of the equation will be a constant.

The following points can be made:

  • Since there is a constant on the RHS, that constant will be the y-intercept.
  • Since the constant on the RHS is -1, the y-intercept of the line is -1.

In conclusion...

  • Slope of line: -1
  • y-intercept of line: -1

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