Math Problem Statement

Find the x- and y-intercepts on the given graph.

Solution

To determine the xx- and yy-intercepts from the graph:

  1. yy-intercept: This is the point where the line crosses the yy-axis. From the graph, the line crosses the yy-axis at y=5y = 5. So, the yy-intercept is (0,5)(0, 5).

  2. xx-intercept: This is the point where the line crosses the xx-axis. From the graph, the line crosses the xx-axis at x=5x = -5. So, the xx-intercept is (5,0)(-5, 0).

Summary:

  • xx-intercept: (5,0)(-5, 0)
  • yy-intercept: (0,5)(0, 5)

Would you like further details or have any questions?

Here are 5 related questions:

  1. How can you find the slope of the line from the graph?
  2. What is the equation of this line in slope-intercept form?
  3. What happens to the intercepts if the line is shifted upward?
  4. Can a vertical line have an xx-intercept and yy-intercept?
  5. How would the graph look if the slope was positive?

Tip: To find the yy-intercept in a linear equation, set x=0x = 0, and for the xx-intercept, set y=0y = 0.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Intercepts

Formulas

y = mx + b (Slope-intercept form of a linear equation)
For x-intercept, set y = 0
For y-intercept, set x = 0

Theorems

Intercept theorem for linear equations

Suitable Grade Level

Grades 6-9