Math Problem Statement

Identify the slope and y-intercept for the linear function y = -3/4x + 1.

Solution

The equation given is y=34x+1y = \frac{3}{4}x + 1, which is in slope-intercept form:

y=mx+by = mx + b

Here:

  • mm is the slope.
  • bb is the y-intercept.

From the equation:

  • The slope mm is 34-\frac{3}{4}.
  • The y-intercept bb is 11.

So, the answers are:

  • Slope: 34-\frac{3}{4}
  • y-intercept: 11

Would you like more details on how to interpret slope and y-intercept?

Here are 5 related questions to expand your understanding:

  1. What does the slope represent in a linear function?
  2. How can the y-intercept be found from a graph?
  3. What is the general form of a linear equation?
  4. How do changes in the slope affect the steepness of the line?
  5. Can the y-intercept be a negative value, and what would that mean?

Tip: The slope tells you how the line rises or falls, while the y-intercept is where the line crosses the y-axis.

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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