x and y intercepts

Front

What is the definition of 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 a linear equation?

Back

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

Front

What is the definition of the x-intercept?

Back

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

Front

How do you find the x-intercept from a linear equation?

Back

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

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept indicates the value of x when the output (y) is zero, showing where the function crosses the x-axis.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the value of y when the input (x) is zero, showing where the function crosses the y-axis.

Front

Given the equation y = 2x - 4, what is the y-intercept?

Back

The y-intercept is -4, found by setting x = 0.

Front

Given the equation y = -3x + 6, what is the x-intercept?

Back

The x-intercept is 2, found by setting y = 0.

Front

What are the x- and y-intercepts of the equation 3x + 2y = 6?

Back

The x-intercept is (2, 0) and the y-intercept is (0, 3).

Front

How can you determine the intercepts from a graph?

Back

The x-intercept is where the graph touches the x-axis, and the y-intercept is where it touches the y-axis.