Regular Class Graph: y = mx + b

Front

What does the equation of a line in slope-intercept form look like?

Back

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

Front

What is the slope (m) in the equation y = mx + b?

Back

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

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the significance of a positive slope in a linear graph?

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 in a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What does a slope of zero mean in a linear graph?

Back

A slope of zero means the line is horizontal, indicating that y remains constant regardless of the value of x.

Front

What does an undefined slope mean in a linear graph?

Back

An undefined slope occurs in a vertical line, where x remains constant and y can take any value.

Front

How can you graph a line using the slope and y-intercept?

Back

To graph a line using slope and y-intercept, start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point on the line.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is related to the angle it makes with the positive x-axis; a steeper slope corresponds to a larger angle.