Slope and Y-intercept from a Table

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x is 0.

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 row where x is 0. The corresponding y value is the y-intercept.

Front

What does a negative y-intercept indicate?

Back

A negative y-intercept indicates that the line crosses the y-axis below the origin (0,0).

Front

What does a positive y-intercept indicate?

Back

A positive y-intercept indicates that the line crosses the y-axis above the origin (0,0).

Front

If a line has a y-intercept of 5, what does this mean?

Back

It means that when x is 0, the value of y is 5, so the point (0,5) is on the line.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How can you determine the slope from a table of values?

Back

To determine the slope from a table, calculate the change in y for a given change in x between two points.

Front

What is the formula for slope?

Back

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

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.