Math Problem Statement

o graph a line in standard form, we are going to use our x and y intercepts.

x-3y=6

To get the equation for the x intercept, we substitute y=0, which eliminates the y term in the equation. Write the equation that would be used to find the x intercept.

Solution

To find the x-intercept, you substitute y=0y = 0 into the equation x3y=6x - 3y = 6. This eliminates the yy-term, and the equation becomes:

x=6x = 6

Thus, the equation to find the x-intercept is x=6x = 6.

Would you like me to solve for the y-intercept or go into further details?

Here are 5 questions related to this topic:

  1. How do you find the y-intercept of the same equation?
  2. What is the slope of the line represented by x3y=6x - 3y = 6?
  3. Can you rewrite x3y=6x - 3y = 6 in slope-intercept form?
  4. How would the graph of this equation look if the equation was x+3y=6x + 3y = 6?
  5. What is the significance of the intercepts when graphing a line?

Tip: The x-intercept represents the point where the graph crosses the x-axis, so the y-coordinate at that point is always zero.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing
Intercepts

Formulas

Standard form of a linear equation: Ax + By = C
To find x-intercept, set y = 0
To find y-intercept, set x = 0

Theorems

Linear equation theorem

Suitable Grade Level

Grades 7-9