Math Problem Statement
What is the gradient of the line perpendicular to y=3x+5
Solution
To find the gradient of the line perpendicular to , first identify the gradient (slope) of the given line. The slope of the line is .
The gradient of a line that is perpendicular to another is the negative reciprocal of the original line's slope. Therefore, the gradient of the perpendicular line is:
If you have any questions or would like further details, let me know! Here are some related questions you might find interesting:
- How do you determine the slope of a line from its equation?
- What is the general equation of a line given its slope and a point?
- Can you explain how to graph a line given its slope?
- How do you find the equation of a line perpendicular to a given line through a specific point?
- What other properties are important when working with parallel and perpendicular lines?
Tip: Always remember that perpendicular slopes are negative reciprocals of each other!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Geometry
Formulas
m = -1/slope
Theorems
Perpendicular slopes theorem
Suitable Grade Level
Grades 7-9
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