Math Problem Statement

What is the y-intercept of each graph?

Solution

From the image, the task involves determining the y-intercept for the given graphs. The y-intercept is the point where the line crosses the y-axis, which occurs when x=0x = 0.

Let’s analyze the graphs:

  1. First graph (top):

    • The line crosses the y-axis at 4. Hence, the yy-intercept is 4.
  2. Second graph (bottom):

    • The line crosses the y-axis at -4. Hence, the yy-intercept is -4.

Answers:

  • Top graph y-intercept: 44
  • Bottom graph y-intercept: 4-4

Would you like a detailed explanation of how to identify y-intercepts or help with a related topic? Here are five questions to deepen your understanding:

  1. What is the slope of each line based on the graph?
  2. How does the slope relate to the direction of the line?
  3. Can you write the equations of the lines in slope-intercept form (y=mx+by = mx + b)?
  4. How can you use the equation of a line to verify the y-intercept?
  5. What happens to the graph of a line if only the y-intercept changes?

Tip: The y-intercept is always located at the point (0,b)(0, b), where bb is the y-value of the intercept.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Linear Equations
Y-Intercepts

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Point-Slope Relationship

Suitable Grade Level

Grades 7-9