Graphing slope intercept form

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

The slope (m) is the coefficient of x in the equation.

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

The slope of a horizontal line is 0.

The slope of a vertical line is undefined.

The y-intercept (b) is the value of y when x is 0 in the equation y = mx + b.

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

A slope of 2.5 means that for every 1 unit you move to the right (run), the line rises 2.5 units (rise).

To graph y = 3x, start at the origin (0,0), then use the slope of 3 to rise 3 units and run 1 unit to the right, plotting points along the way.