Math Problem Statement
The equation of a straight line L is y = 3 - 4x. Write down the gradient of L.
Solution
To solve this question:
The equation given is .
In this equation, the general form for a straight line is , where:
- is the gradient (or slope) of the line,
- is the y-intercept (the point where the line crosses the y-axis).
Comparing to , we see that:
- .
Therefore, the gradient of line is -4.
Would you like further details or have any questions?
Here are some related questions for further practice:
- What is the y-intercept of the line ?
- How would you rewrite in the form ?
- What is the gradient of a line parallel to ?
- How would you find the gradient of a line perpendicular to ?
- If represents a road incline, what does a gradient of -4 indicate about its direction?
Tip: The gradient of a line indicates the steepness and direction of the slope; a negative gradient means the line slopes downwards.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Gradients of Lines
Formulas
y = mx + c (slope-intercept form)
Theorems
-
Suitable Grade Level
Grades 7-9