An equation of one line is y=7/8x+1. What is the slope of the second line?
Find the equation of the second line if it passes through the point (14,-10).
Hint: the slopes of the two lines are reciprocals.
The slope of the given line = 7/8
A perpendicular line will have a negative reciprocal slope.....so.....the line we want to generate has a slope of -8/7 and we have
y - (-10) = [ -8/7 ]] ( x - 14)
y + 10 = [-8/7]x + 112/ 7
y = [ -(8/7)]x + 112/7 - 10
y = [ (-8/7)]x + 112/7 - 70/7
y = [ (-8/7)]x + 42/7
y = [ (-8/7)]x + 6