x and y intercepts of linear functions

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the point where the graph of a linear function crosses the x-axis. At this point, the value of y is 0.

Front

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

Back

To find the x-intercept from a linear equation in standard form (Ax + By = C), set y = 0 and solve for x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of a linear function crosses the y-axis. At this point, the value of x is 0.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from a linear equation in standard form (Ax + By = C), set x = 0 and solve for y.

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 has no vertical displacement.

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 the starting point of the function on the y-axis.

Front

Given the equation 2x + 3y = 6, find the x-intercept.

Back

(3, 0) - Set y = 0: 2x = 6, x = 3.

Front

Given the equation 4x - y = 8, find the y-intercept.

Back

(0, -8) - Set x = 0: -y = 8, y = -8.

Front

What does the point (0, b) represent in a linear function?

Back

The point (0, b) represents the y-intercept of the linear function, where b is the value of y when x is 0.

Front

What does the point (a, 0) represent in a linear function?

Back

The point (a, 0) represents the x-intercept of the linear function, where a is the value of x when y is 0.