Math Problem Statement

What is the y-intercept of the line given by the equation y = 2x + 10?

Solution

The given equation of the line is:

y=2x+10y = 2x + 10

This is in the slope-intercept form of a linear equation, which is:

y=mx+by = mx + b

where:

  • mm is the slope,
  • bb is the yy-intercept.

In this case, the yy-intercept bb is the constant term, which is 10.

So, the yy-intercept of the line is 1010.

Do you have any other questions or would you like more details?

Here are 5 related questions you might find interesting:

  1. What is the slope of the line in this equation?
  2. How do you find the xx-intercept of a line?
  3. How would the graph of this line look?
  4. What happens to the yy-intercept if the equation is changed to y=2x5y = 2x - 5?
  5. How can you graph a line using the slope and the yy-intercept?

Tip: The yy-intercept is where the line crosses the yy-axis, and it can be directly read off from the equation when in slope-intercept form!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8