Finding Slope and Y-intercept from Tables and Graphs

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, y).

Front

How do you find the y-intercept from a table of values?

Back

To find the y-intercept from a table, look for the value of y when x is 0.

Front

What does a negative y-intercept indicate?

Back

A negative y-intercept indicates that the line crosses the y-axis below the origin.

Front

What does a positive y-intercept indicate?

Back

A positive y-intercept indicates that the line crosses the y-axis above the origin.

Front

How can you determine the slope from a graph?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 mean?

Back

A slope of 0 means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and x does not change as y changes.

Front

How do you identify the slope from a table of values?

Back

To identify the slope from a table, calculate the change in y divided by the change in x between two points.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x in a linear equation.