Math Problem Statement
Graph y = x + 3 and identify the x-intercept.
Solution
To determine the x-intercept of the equation , we set , because the x-intercept is the point where the graph crosses the x-axis (and at that point).
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Substitute into :
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Solve for :
Thus, the x-intercept is at .
Would you like me to help with graphing this equation or any additional details?
Here are 5 related questions to expand your understanding:
- How do you determine the y-intercept of a line?
- What is the slope of the line , and how does it affect the graph?
- How do you graph a line step-by-step on a coordinate plane?
- What does the slope-intercept form of a line () tell you about a graph?
- How can you verify the solution for the x-intercept graphically?
Tip: The slope in tells you how steep the line is, and the represents where the line crosses the y-axis.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Coordinate Geometry
Formulas
Slope-intercept form: y = mx + b
Theorems
Properties of Linear Equations
Suitable Grade Level
Grades 6-8