Math Problem Statement
Is y=9x+15
Solution
Yes, the equation is a linear equation. It represents a straight line when graphed on the coordinate plane. In this equation:
- is the dependent variable.
- is the independent variable.
- The number 9 is the slope of the line, meaning for every 1 unit increase in , increases by 9 units.
- The number 15 is the y-intercept, meaning the line crosses the y-axis at .
Would you like more details or have any specific questions about this?
Here are 5 related questions:
- How would you find the x-intercept of the line ?
- What is the slope-intercept form of a linear equation, and how is it useful?
- Can you graph the equation ?
- How would the graph change if the slope or y-intercept were different?
- How can you find the slope of a line from two points on the graph?
Tip: The slope-intercept form of a line is , where is the slope and is the y-intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-10