Linear Equations review

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.

'm' represents the slope of the line, which indicates the steepness and direction of the line.

The slope of a line is a measure of how much the y-coordinate changes for a change in the x-coordinate. It is calculated as $$m = \frac{\Delta y}{\Delta x}$$ .

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of $$b$$ in the equation $$y = mx + b$$ .

To find the slope from two points (x1, y1) and (x2, y2), use the formula $$m = \frac{y2 - y1}{x2 - x1}$$ .

The standard form of a linear equation is $$Ax + By = C$$ , where A, B, and C are integers, and A should be non-negative.

The graph of a linear equation is a straight line that can slope upwards, downwards, or be horizontal or vertical.

The x-intercept is the point where the line crosses the x-axis, found by setting $$y = 0$$ in the equation.

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Two lines are perpendicular if the product of their slopes is -1, meaning one slope is the negative reciprocal of the other.