Interpreting Linear Graphs

Front

What is the relationship between the slope and the steepness of a line?

Back

A steeper line has a larger absolute value of slope, indicating a greater rate of change.

Front

What does the term 'linear' mean in the context of graphs?

Back

Linear refers to a relationship that can be represented by a straight line on a graph.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.

Front

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

Back

The value of y when x is 0, indicating the starting point of the relationship represented by the graph.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the general form of a linear equation?

Back

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

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0, indicating that y remains constant as x changes.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope, indicating that x remains constant as y changes.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by the rise over run between two points on the line.