Math Problem Statement

x=–y–1

Solution

The equation given is:

x=y1x = -y - 1

This equation is in the form of a linear equation in two variables, xx and yy. We can rearrange it to express yy in terms of xx or analyze it as it is.

Solving for yy:

To express yy in terms of xx, we isolate yy on one side:

  1. Start with: x=y1x = -y - 1

  2. Add yy to both sides: x+y=1x + y = -1

  3. Subtract xx from both sides to solve for yy: y=x1y = -x - 1

Interpretation:

This equation represents a straight line with a slope of 1-1 and a y-intercept of 1-1 in the coordinate plane.

Would you like additional details, such as graphing, or further analysis on this equation?

Related Questions

  1. What is the slope and intercept of a linear equation?
  2. How do you graph a line given in the form y=mx+by = mx + b?
  3. How do you determine if two lines are parallel?
  4. How can you find the x- and y-intercepts of a linear equation?
  5. How can this form of equation be converted into standard form?

Tip:

For any linear equation, converting it to y=mx+by = mx + b form makes it easier to identify the slope and intercept for graphing.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Geometry

Formulas

Standard form of a linear equation y = mx + b

Theorems

Slope-intercept form of a linear equation

Suitable Grade Level

Grades 8-10