Rate of Change of Linear Functions Warmup

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

Back

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the formula for calculating slope, where 'rise' is the change in y (vertical) and 'run' is the change in x (horizontal).

Front

If a line rises 4 units and runs 2 units, what is the slope?

Back

Front

What is the slope of a line that falls as it moves from left to right?

Back

The slope is negative, indicating that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run (horizontal change) is 0, leading to division by zero.

Front

How can you determine the slope from a graph?

Back

Front

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

Back

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line relatively steep.