Flashcard - Graphing Equations in Slope Intercept Form

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.

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

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Two lines are parallel if they have the same slope (same value of $$m$$ in the slope-intercept form).

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

An undefined slope means the line is vertical, indicating that x does not change as y changes.

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

The y-intercept is $$2$$ , which is the value of $$b$$ in the equation.