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

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

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

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

A slope of 2 means that for every 1 unit you move to the right (increase in x), you move up 2 units (increase in y).

With a slope of -1/2, for every 2 units you move to the right (increase in x), you move down 1 unit (decrease in y).

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

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

The rise is the vertical change between two points on the line, represented by the numerator of the slope.