The Gradient of a Straight Line (VCE SSCE Mathematical Methods): Quizzes

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The Gradient of a Straight Line
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What does the gradient of a straight line measure?

Its steepness or slope

The gradient formula is the ratio of which two quantities?

Rise to run

Find gradient of line through (2,3)(2, 3) and (4,7)(4, 7).

22

A line slopes upward from left to right. What type of gradient does it have?

Positive

What is the gradient of a horizontal line?

Zero

What is the gradient of a vertical line?

Undefined

A line slopes downward from left to right. What type of gradient does it have?

Negative

What is the relationship between gradient mm and angle θ\theta?

m=tanθm = \tan \theta

What type of angle does a line with negative gradient make with positive x-axis?

Obtuse (90° to 180°)

Find gradient of line through (1,6)(1, 6) and (3,7)(-3, 7).

14-\frac{1}{4}

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