Slope Basics

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

In the slope formula, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

If a line has a slope of 4, what does this mean?

Back

This means that for every 1 unit increase in x, the y value increases by 4 units.

Front

What is the slope of the line that passes through the points (3, 2) and (5, 6)?

Back

Front

What is the slope of the line that passes through the points (1, 1) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.