Math Problem Statement
answer with 100% that its correct
Identify the slope and y-intercept of the equation y = 5x - 2.
Solution
The equation given is , which is in the slope-intercept form of a line , where:
- represents the slope.
- represents the y-intercept.
From the equation :
- The slope is 5.
- The y-intercept is -2.
So the correct answers are:
- The slope is 5.
- The y-intercept is -2.
If you have any questions or would like further details, feel free to ask!
Here are five related questions to consider:
- What is the slope-intercept form of a line?
- How do you find the slope and y-intercept from a graph?
- Can you explain the relationship between slope and the steepness of a line?
- What does a positive slope indicate about the direction of a line?
- How do you interpret the y-intercept in real-world problems?
Tip: The slope of a line tells you how much the y-value changes for each change in the x-value.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 6-8