Slope Review

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

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 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 determine the steepness of a slope?

Back

The steepness of a slope is determined by the absolute value of the slope; a larger absolute value indicates a steeper slope.

Front

Given the equation y = mx + b, what do m and b represent?

Back

m represents the slope of the line, and b represents the y-intercept.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 4).

Back

The slope is 1.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit to the right.

Front

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

Back

The slope is -2.