Math Problem Statement
Solution
To find the x-intercept and y-intercept of the given line equation , we will follow these steps:
Finding the x-intercept
The x-intercept occurs when . Substitute into the equation and solve for :
Thus, the x-intercept is at .
Finding the y-intercept
The y-intercept occurs when . Substitute into the equation and solve for :
Thus, the y-intercept is at .
Graphing the Line
Using the intercepts found, we can graph the line by plotting the points and and then drawing a straight line through these points.
Would you like a detailed graphical representation of the line, or do you have any questions about the process?
Related Questions:
- How do you find the slope of the line from the given equation?
- Can you convert the given equation to slope-intercept form ?
- What is the distance between the x-intercept and y-intercept?
- How would you find the x-intercept and y-intercept if the equation were in a different form, such as point-slope form?
- How can you check if a point lies on the line given by the equation ?
Tip:
When finding intercepts, remember that the x-intercept is found by setting and solving for , while the y-intercept is found by setting and solving for .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
General form of a line: Ax + By = C
Finding x-intercept: Set y = 0
Finding y-intercept: Set x = 0
Theorems
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Suitable Grade Level
Grades 8-10