Writing 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 $$m$$ can be calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ , where (x1, y1) and (x2, y2) are the two points.

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 point where the line crosses the y-axis, represented by the value of $$b$$ in the slope-intercept form.

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

The equation is $$y = -2x + 6$$ .

A slope of 0 indicates that the line is horizontal.

An undefined slope indicates that the line is vertical.

To convert to standard form, rearrange to $$2x - y = -3$$ .

Parallel lines have the same slope but different y-intercepts.