Slope and Y-intercept from a Table

Front

What is the y-intercept?

Back

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

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 = 0. The corresponding y value is the y-intercept.

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

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

If a table shows (0, 24), what is the y-intercept?

Back

The y-intercept is 24.

Front

If a table shows (0, -4), what is the y-intercept?

Back

The y-intercept is -4.

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, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical and cannot be expressed as a ratio of rise to run.