1/6/25 WU: Find Slope

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 to the horizontal change between two points on the line.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.

Front

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

Back

A slope of 4 means that for every 1 unit you move horizontally (run), the line rises 4 units (rise).

Front

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

Back

The slope of the line is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

How can you determine the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2, calculated as (12 - 4) / (6 - 2) = 8 / 4 = 2.