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 y-intercept of a linear equation?

Back

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

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

What are intercepts in the context of linear equations?

Back

Intercepts are points where the graph of the equation crosses the x-axis (x-intercept) and y-axis (y-intercept).

Front

Given the equation 3x + y = 5, what is the y-intercept?

Back

The y-intercept is (0, 5).

Front

Given the equation 4x - 10y = 20, what are the x and y intercepts?

Back

The x-intercept is (5, 0) and the y-intercept is (0, -2).

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 5x + 10y = 20?

Back

The y-intercept is (0, 2).

Front

How can you convert the equation 4x - 10y = 20 to slope-intercept form?

Back

Rearranging gives y = (2/5)x - 2.

Front

What does it mean if a linear equation has no x-intercept?

Back

It means the line is parallel to the x-axis and does not cross it.