Math Problem Statement
Find the equation of a straight line with gradient of 0 and a y intercept of 5
Solution
If a straight line has a gradient (slope) of 0, it means the line is horizontal. The equation of a horizontal line only has a constant -value.
Given that the -intercept is 5, the line crosses the -axis at .
Thus, the equation of the line is:
Would you like further details, or do you have any questions?
Here are some related questions to consider:
- How would the equation change if the gradient were non-zero?
- What would be the equation of a line with a gradient of 0 and a -intercept of -3?
- How can you determine if two lines are parallel based on their gradients?
- What is the equation of a vertical line passing through ?
- How does the -intercept affect the position of the line on a graph?
Tip: A line with a gradient of 0 always has an equation in the form , where is a constant.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Equation of a line: y = mx + c
Theorems
Properties of horizontal and vertical lines
Suitable Grade Level
Grade 7-8
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