Math Problem Statement

What is the y-intercept of the line with the equation y = 10x - 9?

Solution

The equation provided is in slope-intercept form, which is given by:

y=mx+by = mx + b

Here:

  • mm is the slope of the line,
  • bb is the y-intercept, which represents the point where the line crosses the y-axis.

In the equation y=10x9y = 10x - 9, we can see that:

  • m=10m = 10 (slope),
  • b=9b = -9 (y-intercept).

Thus, the y-intercept of the line is 9-9.

Final Answer:

The y-intercept is 9-9.

Would you like further details or an explanation about the slope-intercept form?


Related Questions:

  1. What does the slope (mm) of this equation tell us about the line?
  2. How would the line change if the y-intercept were positive instead of negative?
  3. How can you find the x-intercept of this line?
  4. How does the graph of this equation look (e.g., steep or shallow)?
  5. What is the significance of the y-intercept in real-world applications?

Tip:

Remember, in slope-intercept form, you can immediately identify both the slope and the y-intercept without any calculations!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

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Suitable Grade Level

Grades 6-8