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Understanding Slope in Mathematics

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Questions and Answers

How is slope defined in mathematics?

The vertical distance between two points

The ratio of horizontal to vertical distance between two points (correct)

The horizontal distance between two points

The total distance covered between two points

What is the slope of a line when it has no horizontal distance and only vertical distance?

Negative

Zero

Undefined (correct)

Positive

What does a positive slope indicate on a graph?

The graph has no movement

The graph is a horizontal line

The graph increases from left to right (correct)

The graph decreases from left to right

How is the slope of a line with an undefined slope calculated?

Dividing the change in y by the change in x Signup and view all the answers

In the context of slopes, what does 'rise over run' refer to?

The ratio of vertical to horizontal distances Signup and view all the answers

Which type of line has a slope of zero?

Horizontal line Signup and view all the answers

What is the characteristic of a slope with a value of zero?

It is a straight horizontal line Signup and view all the answers

Why is the slope of a vertical line considered undefined?

Because it has zero run and infinite rise Signup and view all the answers

When determining a negative slope on a graph, what direction does it go from left to right?

Decreases Signup and view all the answers

What happens when you substitute two points on a vertical line into the slope formula?

You get an undefined result Signup and view all the answers