Find Slope and Y-Intercept in Tables, Graphs, Equations

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the value of y at that point.

Front

What does slope represent in a graph?

Back

Slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the formula for finding the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant of the line.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant of the line.

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x.

Front

What is the slope of a horizontal line?

Back

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

Front

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

Back

Calculate the change in y divided by the change in x between two points in the table.