- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
So remember that <u>parallel lines have the same slope,</u> while <u>perpendicular lines have slopes that are negative reciprocals to each other.</u> But first, we have to find out the slope of the original equation. The easiest method to find the slope is to convert this standard form equation to slope-intercept form.
Firstly, subtract 6x on both sides of the equation:
Next, divide both sides by -4 and your slope-intercept form is
Now, looking at our slope-intercept form we see that the slope of the original equation is 3/2. Using what we know about parallel and perpendicular lines, <u>the slope of a parallel line is 3/2 and the slope of a perpendicular line is -2/3</u>