Slope & Slope Formula

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are two points on a line.

Front

How do you find the slope between two points (3, 4) and (7, 10)?

Back

Using the slope formula: m = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y 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 4, what does this mean?

Back

This means that for every 1 unit increase in x, y increases by 4 units.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

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

Back

If the line rises from left to right, it is positive; if it falls, it is negative; if it is horizontal, the slope is zero.

Front

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

Back

The slope is -3.