Graph Linear equations

The slope-intercept form is given by the equation: $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

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

To find the y-intercept, set $$x = 0$$ in the equation and solve for $$y$$ .

The y-intercept is the point where the line crosses the y-axis, indicating the value of $$y$$ when $$x = 0$$ .

The equation is $$y = 2x - 3$$ .

To convert from standard form $$Ax + By = C$$ to slope-intercept form, solve for $$y$$ : $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

The slope is $$-\frac{1}{2}$$ .

A positive slope indicates that as $$x$$ increases, $$y$$ also increases, meaning the line rises from left to right.

A negative slope indicates that as $$x$$ increases, $$y$$ decreases, meaning the line falls from left to right.

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