Slope Intro

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How is slope written mathematically?

Back

Slope is written as the fraction 'rise over run'.

Front

What does a positive slope indicate?

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?

Back

A negative slope indicates that as the x-value increases, the y-value 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 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 2/3, what does this mean in terms of movement on a graph?

Back

For every 3 units you move to the right, you move up 2 units.

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

The slope is (5-2)/(4-1) = 3/3 = 1.

Front

What is the slope of the line represented by the equation y = -1x + 3?

Back

The slope is -1.

Front

If a line has a slope of -0.25, what does this indicate about the line's direction?

Back

The line falls as it moves from left to right.