Math Problem Statement

Identify the intercepts of the graph.

Solution

The graph you've provided shows a straight line, and you are asked to identify its intercepts. Let’s find the x-intercept and y-intercept from the graph.

Intercepts:

  1. X-Intercept: This is the point where the line crosses the x-axis. From the graph, the line crosses the x-axis at x=3x = 3. Therefore, the x-intercept is (3,0)(3, 0).

  2. Y-Intercept: This is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at y=6y = 6. Therefore, the y-intercept is (0,6)(0, 6).

Final Answer:

  • X-Intercept(s): (3,0)(3, 0)
  • Y-Intercept: (0,6)(0, 6)

Would you like further details on how intercepts are calculated, or any other questions? Here are 5 related questions to consider:

  1. How do you find the slope of a line from two points?
  2. What is the equation of a line given its intercepts?
  3. How can you determine the slope from a graph?
  4. What are the properties of horizontal and vertical lines?
  5. How do parallel and perpendicular lines relate to slope?

Tip: The slope of a line can be calculated using the formula ΔyΔx\frac{\Delta y}{\Delta x}, which measures the vertical change divided by the horizontal change between two points on the line.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope-intercept form: y = mx + b

Theorems

Intercepts of a line

Suitable Grade Level

Grades 7-9