Graphing Lines (slope-intercept)

Front

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

Back

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

Front

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

Back

The y-intercept is the value of b in the equation y = mx + b, which represents the point where the line crosses the y-axis.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is significant because it indicates the starting point of the line on the y-axis when x = 0.

Front

How do you graph a line using the slope-intercept form?

Back

To graph a line using the slope-intercept form, first plot the y-intercept (0, b) on the graph, then use the slope (rise/run) to find another point.

Front

What is the rise and run in the context of slope?

Back

The rise is the vertical change between two points, while the run is the horizontal change between those same two points.

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 of the line.

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 of the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.