Review & Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

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

Front

What type of slope does a line that rises from left to right have?

Back

Positive slope.

Front

What type of slope does a line that falls from left to right have?

Back

Negative slope.

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

Calculate the slope of the line passing through the points (2, 3) and (5, 11).

Back

The slope is 8/3.

Front

If the slope of a line is 2, what does this indicate about the line's steepness?

Back

The line rises 2 units vertically for every 1 unit it moves horizontally, indicating a steep incline.

Front

What does a slope of -1 indicate about a line?

Back

The line falls 1 unit vertically for every 1 unit it moves horizontally, indicating a downward slope.

Front

Back

a = 18.