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 into the equation . This eliminates the -term, and the equation becomes:
Thus, the equation to find the x-intercept is .
Would you like me to solve for the y-intercept or go into further details?
Here are 5 questions related to this topic:
- How do you find the y-intercept of the same equation?
- What is the slope of the line represented by ?
- Can you rewrite in slope-intercept form?
- How would the graph of this equation look if the equation was ?
- 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
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