Graphing 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 (m) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

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

A positive slope rises from left to right, indicating that as x increases, y also increases.

A negative slope falls from left to right, indicating that as x increases, y decreases.

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

A zero slope indicates a horizontal line, meaning that y remains constant as x changes.

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

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

The equation is y = -1x + 2.