T-charts and Intercepts

Front

What is a 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 of the equation 3x + y = 5?

Back

Set x = 0. The equation becomes y = 5, so the y-intercept is (0, 5).

Front

Which ordered pair represents a y-intercept?

Back

(0, 4) is a y-intercept because the x-coordinate is 0.

Front

What is a horizontal line?

Back

A horizontal line has a constant y-value and can be represented by an equation of the form y = k.

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

Set y = 0. The equation becomes 3x = 24, so x = 8, and the x-intercept is (8, 0).

Front

What is an x-intercept?

Back

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

Front

What is the y-intercept for the equation 6x - y = -3?

Back

Set x = 0. The equation becomes -y = -3, so y = 3, and the y-intercept is (0, 3).

Front

What does the equation y = -3 represent?

Back

It represents a horizontal line where the y-value is always -3.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

How can you determine if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = k.