Math Problem Statement

Give the slope and the y-intercept of the line y = 5x + 1.

Solution

The question asks to determine the slope and yy-intercept of the line represented by the equation y=5x+1y = 5x + 1.

This equation is in the slope-intercept form, which is generally written as: y=mx+by = mx + b where:

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

For the equation y=5x+1y = 5x + 1:

  • The slope m=5m = 5,
  • The yy-intercept b=1b = 1.

So the answers are:

  • Slope = 5
  • yy-intercept = 1

Would you like more details or have any further questions?

Here are 5 related questions to think about:

  1. What is the slope of the line y=3x+7y = -3x + 7?
  2. How do you find the slope of a line given two points?
  3. What does the slope of a line represent in real-world scenarios?
  4. How does the graph of the line change if the slope is negative?
  5. How do you find the yy-intercept when the equation is not in slope-intercept form?

Tip: The slope determines the steepness of a line; a larger slope means the line is steeper.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-Intercept Form y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9