Slope, y-intercept, and similar slope triangles Unit 4 review

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How is the slope calculated between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as the x-values change.

Front

What does a positive slope indicate about the direction of a line?

Back

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

Front

What does a negative slope indicate about the direction of a line?

Back

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

Front

What is the y-intercept of a line?

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 can you find the y-intercept from the equation of a line in slope-intercept form?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of similar slope triangles in understanding slope?

Back

Similar slope triangles help visualize the concept of slope by showing that the ratio of rise to run remains constant, regardless of the size of the triangle.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.