Math Problem Statement

What is the slope of the line with the equation y = 2x + 8?

Solution

The given equation is in slope-intercept form:

y=2x+8y = 2x + 8

In the slope-intercept form y=mx+by = mx + b, the slope is represented by mm and the y-intercept is represented by bb.

From the equation y=2x+8y = 2x + 8:

  • The slope m=2m = 2.
  • The y-intercept b=8b = 8, meaning the line crosses the y-axis at y=8y = 8.

Thus, the slope of the line is 2.

Now, to answer the question:

  • The correct answer is A. The slope is 2.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you determine the slope of a line from an equation?
  2. What is the significance of the y-intercept in the graph of a line?
  3. How would you graph the equation y=2x+8y = 2x + 8 step by step?
  4. What happens to the slope if the equation changes to y=2x+8y = -2x + 8?
  5. Can a slope ever be undefined, and what does it mean?

Tip: In slope-intercept form, always look at the coefficient of xx for the slope and the constant for the y-intercept!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 6-8