Math Problem Statement
y=6x+13
Solution
The equation you've provided is a linear equation in slope-intercept form, which is typically written as:
Where:
- is the slope of the line.
- is the y-intercept (the value of when ).
For the equation :
- The slope is , meaning for every unit increase in , increases by 6.
- The y-intercept is , so the line crosses the y-axis at .
Would you like to know more details, such as how to graph it or find specific points on the line?
Here are 5 related questions you might find interesting:
- What does the slope of 6 represent in practical terms?
- How can you determine the x-intercept of this equation?
- How would you rewrite the equation if you shifted the line down by 5 units?
- What are the coordinates of the point where ?
- How would the graph look if the slope were negative?
Tip: To graph a linear equation, you only need two points. Use the y-intercept and another easy-to-calculate point to quickly sketch the line!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b (Slope-Intercept Form)
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9