Write down the equation of a line perpendicular to each of the following

Question

Perpendicular to Y= 1/3 X -2 and passing through the origin

Answer 1

perpendicular lines have negative inverse slopes. If the original line has slope -1/5, then the perpendicular line has slope=5. the slope is the coefficient of the x term, when the equation is solved for y.

5 = (y- -2)/(x-0) slope = difference in y's over difference in x's

y+2 = 5x

y =5x-2 is the perpendicular line through (0,-2)

y=-2x/9 -10 (0,6)

y=9x/2 +6 is the perpendicular line through (0,6)

(ignore the 8 and 10 from the original equations. They're irrelevant)