Slope & Slope Intercept

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Front

In the equation y=mx+b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

What does a positive slope indicate about a line?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 4, what does this mean in terms of rise and run?

Back

For every 4 units of rise, there is a 1 unit run.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope is -5/3.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.