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 yy-value.

Given that the yy-intercept is 5, the line crosses the yy-axis at y=5y = 5.

Thus, the equation of the line is:

y=5y = 5

Would you like further details, or do you have any questions?

Here are some related questions to consider:

  1. How would the equation change if the gradient were non-zero?
  2. What would be the equation of a line with a gradient of 0 and a yy-intercept of -3?
  3. How can you determine if two lines are parallel based on their gradients?
  4. What is the equation of a vertical line passing through x=2x = 2?
  5. How does the yy-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 y=cy = c, where cc 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