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

What is the slope?

Back

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

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

How do you calculate the slope from two points?

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 does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no change in x.

Front

If the slope is 2, what does this mean in terms of rise and run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), you move up 2 units (rise).

Front

How can you identify the slope from a graph?

Back

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