What is the definition of the gradient of a straight line?
Gradient and Equation of Straight Lines

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Mathematics
•
7th - 8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The gradient (or slope) of a straight line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).
2.
FLASHCARD QUESTION
Front
How do you calculate the gradient of a line given two points (x1, y1) and (x2, y2)?
Back
The gradient (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What is the formula for the equation of a straight line in slope-intercept form?
Back
The equation of a straight line in slope-intercept form is y = mx + b, where m is the gradient and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
What does the y-intercept of a line represent?
Back
The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
If a line has a gradient of 0, what does this indicate about the line?
Back
A line with a gradient of 0 is horizontal, indicating that there is no change in the y-value as x changes.
6.
FLASHCARD QUESTION
Front
What is the significance of a negative gradient?
Back
A negative gradient indicates that the line slopes downwards from left to right, meaning that as x increases, y decreases.
7.
FLASHCARD QUESTION
Front
How can you determine which of two lines is steeper?
Back
The steepness of a line can be determined by comparing their gradients; the line with the larger absolute value of the gradient is steeper.
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