Standard Form/Intercepts

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Front

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

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What are intercepts in the context of a graph?

Back

Intercepts are points where a line crosses the x-axis (x-intercept) and y-axis (y-intercept).

Front

What is the x-intercept of the equation 4x - 5y = 40?

Back

The x-intercept is 10.

Front

What is the y-intercept of the equation 4x - 5y = 40?

Back

The y-intercept is -8.

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

What is the y-intercept of the equation 3x + 8y = 24?

Back

The y-intercept can be found by setting x = 0, which gives y = 3.

Front

What ordered pair represents a y-intercept?

Back

An ordered pair representing a y-intercept has the form (0, y), where y is any real number.

Front

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

Back

The y-intercept indicates the point where the line crosses the y-axis, showing the value of y when x is zero.