Finding Slope

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

If a line passes through the points (10, 1) and (5, 2), what is the slope?

Back

The slope is -1/5.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you find 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

If the slope of a line is 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move horizontally (run), the line rises 2 units (rise).

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

How can you determine if two lines are parallel based on their slopes?

Back

Two lines are parallel if they have the same slope.