Slope and y-intercept review

Front

What is the definition of slope?

Back

Slope is the measure of the steepness of a line, calculated as the ratio of rise (vertical change) to run (horizontal change).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

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

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 rises from left to right, what type of slope does it have?

Back

Positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

Negative slope.

Front

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

Back

The slope is 3.

Front

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

Back

The y-intercept is (0, 5).

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept is the point where the line intersects the y-axis.