The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.
Correspondingly, what is the formula for a perpendicular line?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
Similarly one may ask, what is the perpendicular slope of 0? The slope of a line perpendicular to a line with a slope of 0 is undefined. The perpendicular line is a vertical line. A line with a slope of 0 is a horizontal line. A vertical line would be perpendicular to the horizontal line, but the slope of a vertical line is undefined.
In this manner, what is the perpendicular slope of 1 3?
-3