Understanding Linear Equations and Lines

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 the y-value with respect to the x-value. It indicates how steep the line is.

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

The slope (m) can be calculated using the formula: $$m = \frac{{y2 - y1}}{{x2 - x1}}$$ .

The slope of the line is 4.

The slope of a horizontal line is 0.

The slope of a vertical line is undefined.

Parallel lines are lines in a plane that never meet. They have the same slope.

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are opposite reciprocals.

The slope of the line is -2.