Ch. 4 Review - GEO 25

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does the variable 'm' represent in the equation y=mx+b?

Back

The variable 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation y=mx+b?

Back

The variable 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit of horizontal change, the line rises 3 units vertically, making it steep.

Front

Given the equation y = 2x + 4, identify the slope and y-intercept.

Back

The slope (m) is 2 and the y-intercept (b) is 4.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 3?

Back

The slope (m) is -rac{1}{2}, indicating the line decreases as it moves from left to right.

Front

How do you determine if a slope is increasing, decreasing, or constant?

Back

A slope is increasing if it rises from left to right, decreasing if it falls, and constant if it is horizontal.