Math Problem Statement
the gradient of y=3x-4
Solution
The gradient of the line given by the equation is the coefficient of . In this linear equation, the standard form is , where represents the gradient (or slope) and represents the y-intercept.
Here, . Therefore, the gradient of the line is:
Would you like more details or have any other questions?
Here are 5 related questions you might find useful:
- What is the significance of the y-intercept in the equation ?
- How do you determine the gradient from two points on a line?
- What is the interpretation of a negative gradient?
- How do you find the equation of a line parallel to ?
- How do you find the equation of a line perpendicular to ?
Tip: The gradient of a line determines how steep the line is; a higher gradient means a steeper slope.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Gradient/Slope
Formulas
y = mx + c
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 7-9