Linear Equations

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes.

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

The slope of a line that rises to the right is positive.

The slope of a line that falls to the right is negative.

The slope of a horizontal line is zero.

The slope of a vertical line is undefined.

The y-intercept (b) is the point where the line crosses the y-axis.

The slope can be identified by selecting two points on the line and calculating the rise over run.

A slope of 1/4 means that for every 4 units you move to the right, the line rises 1 unit.