Math Problem Statement
Identify the slope and y-intercept for the linear function y = -3/4x + 1.
Solution
The equation given is , which is in slope-intercept form:
Here:
- is the slope.
- is the y-intercept.
From the equation:
- The slope is .
- The y-intercept is .
So, the answers are:
- Slope:
- y-intercept:
Would you like more details on how to interpret slope and y-intercept?
Here are 5 related questions to expand your understanding:
- What does the slope represent in a linear function?
- How can the y-intercept be found from a graph?
- What is the general form of a linear equation?
- How do changes in the slope affect the steepness of the line?
- 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
-
Suitable Grade Level
Grades 6-8