Interpreting Linear Graphs

Front

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

Back

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

Front

What is the slope of a linear graph?

Back

The slope represents the rate of change of y with respect to x, indicating how much y increases or decreases for each unit increase in x.

Front

How do you find the y-intercept from a linear equation?

Back

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

Front

What does a positive slope indicate about a linear relationship?

Back

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

Front

What does a negative slope indicate about a linear relationship?

Back

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

Front

How can you determine the slope from two points on a graph?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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 is the significance of the x-intercept in a linear graph?

Back

The x-intercept is the value of x when y is 0, indicating where the graph crosses the x-axis.

Front

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

Back

The y-intercept can be identified as the point where the line crosses the y-axis.