Math Problem Statement

Find the slope of the line y = 2x + 7

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Solution

The equation of the line is given in the slope-intercept form:

y=mx+by = mx + b

where:

  • mm is the slope of the line, and
  • bb is the y-intercept.

In the equation y=2x+7y = 2x + 7, the coefficient of xx is 2. This means the slope mm is 2.

So, the slope of the line is 2.

Would you like further details or have any questions?

Here are 5 related questions you might find helpful:

  1. How do you find the y-intercept of the line y=2x+7y = 2x + 7?
  2. What is the slope of a line parallel to y=2x+7y = 2x + 7?
  3. What is the slope of a line perpendicular to y=2x+7y = 2x + 7?
  4. How do you find the equation of a line with a slope of 2 that passes through the point (3, 4)?
  5. How would the graph of the line y=2x+7y = 2x + 7 look?

Tip: The slope tells you how steep the line is. A positive slope means the line rises as you move from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form y = mx + b

Theorems

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Suitable Grade Level

Grades 6-8