Math Problem Statement
y=-7x-3
Solution
The equation you provided is in slope-intercept form: , where:
- is the slope of the line, and
- is the y-intercept (the point where the line crosses the y-axis).
In your equation, :
- The slope , meaning the line decreases (falls) 7 units for every 1 unit increase in .
- The y-intercept , meaning the line crosses the y-axis at .
Would you like to graph the equation or need further details?
Here are five questions related to the equation:
- What is the x-intercept of the equation ?
- How would the graph change if the slope were positive?
- How can you determine if two lines are parallel or perpendicular?
- How do you solve for if in this equation?
- What would happen to the graph if the constant (-3) were changed?
Tip: The slope of a line indicates the steepness and direction of the line—negative slopes result in a downward trend.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Graphing Lines
Formulas
y = mx + b (Slope-Intercept Form)
Slope = (change in y) / (change in x)
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 8-10