Linear Characteristics

Front

What is the definition of an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the y-coordinate is zero.

Front

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

Back

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

Front

What is the x-intercept of the line represented by the equation y = 2x + 8?

Back

The x-intercept is (-4, 0).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 4x - 2?

Back

The slope of the line is 4.

Tags

CCSS.8.EE.B.5

Front

What is the general form of a linear equation?

Back

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

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

Tags

CCSS.8.EE.B.5