Math Problem Statement

What is the y-intercept of the line?

Solution

To find the yy-intercept of the line, we need to identify the point where the line crosses the yy-axis on the graph provided.

From the graph in the image:

  1. The yy-intercept is the point where the line meets the yy-axis, which is when x=0x = 0.
  2. Observing the graph, the line intersects the yy-axis at y=1y = -1.

Therefore, the correct answer is -1.

Would you like a detailed explanation on finding yy-intercepts?

Here are some related questions to expand on this topic:

  1. How do you find the slope of a line from a graph?
  2. What is the equation of a line in slope-intercept form?
  3. How do xx- and yy-intercepts help in sketching graphs?
  4. What happens to the yy-intercept if you change the slope?
  5. How can you determine the yy-intercept from an equation directly?

Tip: Remember, the yy-intercept is always the point where x=0x = 0 on a graph.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Linear Equations
Y-Intercept

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

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Suitable Grade Level

Grades 7-9