Math Problem Statement

Determine the intercepts of the line.

Determine the intercepts of the line.

Solution

Let's analyze the graph of the line and determine the intercepts.

  1. Y-Intercept: This is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at the point (0, -20). Therefore, the y-intercept is -20.

  2. X-Intercept: This is the point where the line crosses the x-axis. From the graph, the line crosses the x-axis at the point (10, 0). Therefore, the x-intercept is 10.

So, the intercepts are:

  • Y-Intercept: (0, -20)
  • X-Intercept: (10, 0)

Would you like further details or help with another concept? Here are some related questions:

  1. How do we find intercepts from an equation of a line?
  2. What is the formula for the equation of a line in terms of intercepts?
  3. How do you graph a line given its intercepts?
  4. What does the slope represent in terms of intercepts?
  5. How do you calculate intercepts algebraically?

Tip: To find intercepts algebraically from a linear equation, set x=0x = 0 to find the y-intercept, and set y=0y = 0 to find the x-intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Graphing
Linear Equations

Formulas

x-intercept formula: Set y = 0
y-intercept formula: Set x = 0

Theorems

Intercept theorem

Suitable Grade Level

Grades 7-9