Graph Standard Form Practice

Front

What is the x-intercept of a line?

Back

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

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What are the x- and y-intercepts of the equation 2x + y = 6?

Back

The x-intercept is (3, 0) and the y-intercept is (0, 6).

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.

Front

How do you convert the slope-intercept form to standard form?

Back

To convert y = mx + b to Ax + By = C, rearrange the equation to get all terms on one side.

Front

What does the term 'rise' refer to in slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What does the term 'run' refer to in slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

How can you determine if a slope is positive or negative?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

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

Back

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