Slope & Slope-Intercept

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the formula for finding slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does the 'm' represent in the slope-intercept form of a linear equation?

Back

'm' represents the slope of the line.

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does the 'b' represent in the slope-intercept form of a linear equation?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you write the equation of a line given a slope and a point?

Back

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

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

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a slope of zero is horizontal.