Math Problem Statement
The equation of a line is y = 11x + 8. What is the gradient of the line?
Solution
The equation provided is in the slope-intercept form , where:
- represents the gradient (or slope) of the line.
- represents the y-intercept.
In the equation , the coefficient of is 11. Therefore, the gradient of the line is:
Would you like further details or have any questions?
Here are five related questions to expand on this topic:
- How would the graph of the line change if the gradient were negative?
- What is the y-intercept of the line, and how is it interpreted?
- How can you find the equation of a line given two points on it?
- How would you determine the gradient of a line parallel to this one?
- How would you find the x-intercept of the line given the equation?
Tip: In linear equations, the gradient tells you how steep the line is. A larger gradient means a steeper slope.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form: y = mx + c
Theorems
Properties of Linear Equations
Slope and Gradient Theorem
Suitable Grade Level
Grades 8-10