Y-Intercept

Front

What is the y-intercept?

Back

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

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, set x = 0. The value of y when x = 0 is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

What is the formula for slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the significance of the y-intercept in real-world problems?

Back

The y-intercept often represents the starting value or initial condition in real-world scenarios, such as cost or population.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

What is the y-intercept of the equation y = 2x + 4?

Back

The y-intercept is (0, 4).

Front

What is the y-intercept of the equation y = -3x + 1?

Back

The y-intercept is (0, 1).