Math Problem Statement
Use the intercepts to graph the equation x - 2y = 4.
Solution
To graph the line using intercepts, let's find the x-intercept and y-intercept.
Steps to Solve:
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Find the x-intercept: Set in the equation and solve for . So, the x-intercept is .
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Find the y-intercept: Set in the equation and solve for . So, the y-intercept is .
Plotting the Line:
- Mark the points on the x-axis and on the y-axis.
- Draw a straight line passing through these two points.
This line represents the equation .
Would you like additional steps or a detailed explanation of the intercept method?
Here are some related questions you might find helpful:
- How do you find intercepts for equations in standard form?
- What is the slope of the line ?
- How can you convert into slope-intercept form?
- How would you graph a line using a different method, like plotting points?
- What does it mean for two lines to be parallel in terms of their equations?
Tip: Always check if your line passes through both intercept points to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Intercepts
Formulas
x-intercept: set y = 0, then solve for x
y-intercept: set x = 0, then solve for y
Theorems
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Suitable Grade Level
Grades 8-10