Math Problem Statement
Consider the graph of y = x - 2. State the coordinates of the x-intercept.
Solution
The graph provided represents the line given by the equation . To solve part 4a, we need to determine the x-intercept, where the line crosses the x-axis.
To find the x-intercept:
- Set because the y-value at the x-intercept is always zero.
- Solve for .
Step-by-Step Solution:
Starting with the equation: Set : Solve for :
Thus, the coordinates of the x-intercept are .
Would you like more details or have any other questions?
Here are 5 related questions for practice:
- What is the y-intercept of the line ?
- How would the graph change if the equation were ?
- Find the slope of the line and explain its significance.
- How do you find the point where two lines intersect?
- What is the distance between the origin and the x-intercept of ?
Tip: The slope-intercept form of a line is , where is the slope and is the y-intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
y = mx + b
Theorems
X-intercept of a line (set y = 0)
Suitable Grade Level
Grades 7-9