Math Problem Statement

x-y=-9 to find the y-intercept, let x=

Solution

To find the yy-intercept of the equation xy=9x - y = -9, set x=0x = 0 because the yy-intercept is the point where the line crosses the yy-axis, and at this point, x=0x = 0.

  1. Substitute x=0x = 0 into the equation:

    0y=90 - y = -9

  2. Simplify:

    y=9-y = -9

  3. Divide by 1-1 to solve for yy:

    y=9y = 9

So, the yy-intercept is (0,9)(0, 9).

Would you like more details or have any questions?


  1. How would you find the xx-intercept for xy=9x - y = -9?
  2. What is the slope of the line represented by xy=9x - y = -9?
  3. Can you rewrite xy=9x - y = -9 in slope-intercept form?
  4. What would the graph of xy=9x - y = -9 look like?
  5. How would you find the point where this line intersects another line?

Tip: Remember that to find the yy-intercept, always set x=0x = 0 in the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Intercepts

Formulas

To find the y-intercept, set x = 0 in the equation.

Theorems

Concept of y-intercept in linear equations

Suitable Grade Level

Grades 7-8