Graphing Slope-Intercept Form

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

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

The slope (m) indicates the steepness of the line and the direction it goes; a positive slope rises to the right, while a negative slope falls to the right.

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Start at the y-intercept (0, 3) and use the slope (2) to rise 2 units up and run 1 unit to the right to find another point.

The slope is -4, indicating the line falls steeply as it moves to the right.

The equation is already in slope-intercept form, where the slope is 3 and the y-intercept is -5.

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

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.