Math Problem Statement

state the slope y=-x-4

Solution

The equation y=x4y = -x - 4 is in the slope-intercept form y=mx+by = mx + b, where:

  • mm is the slope.
  • bb is the y-intercept.

From the given equation:

  • m=1m = -1 (this is the slope).
  • b=4b = -4 (the y-intercept).

Slope: 1-1

Would you like further details or have any questions? Here are 5 related questions for deeper exploration:

  1. How do you calculate the slope between two points on a line?
  2. What does a negative slope represent graphically?
  3. How would the line change if the slope were 11 instead of 1-1?
  4. How do you rewrite the equation y=x4y = -x - 4 in standard form?
  5. How do you find the x-intercept for this equation?

Tip: The slope determines how steep a line is and the direction it leans. A negative slope means the line descends from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form: y = mx + b

Theorems

Linear equation properties

Suitable Grade Level

Grades 6-8