Graphing Linear Functions

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/run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

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

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.

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.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope can be found using the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

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

Back

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