Standard Form (x and y 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 should be non-negative.

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 the x- and y-intercepts of the equation 3x + 4y = -12?

Back

The x-intercept is (-4, 0) and the y-intercept is (0, -3).

Front

What is the x-intercept of the equation 5x - 3y = 15?

Back

The x-intercept is (3, 0).

Front

What is the y-intercept of the equation 5x - 3y = 15?

Back

The y-intercept is (0, -5).

Front

What is the y-intercept of the equation 2x - 5y = 35?

Back

The y-intercept is (0, -7).

Front

Which of the following is in standard form: 2y = 3x + 6 or -7x + 2y = 9?

Back

-7x + 2y = 9 is in standard form.

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

How can you convert the equation 2y = 3x + 6 into standard form?

Back

Rearranging gives -3x + 2y = 6, which can be written as 3x - 2y = -6.