39.6k views
3 votes
The line given by the equation y=5x+2 is perpendicular to the line given by which of the equations below?

The line given by the equation y=5x+2 is perpendicular to the line given by which-example-1
User Cyraxjoe
by
5.6k points

2 Answers

5 votes

D

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 2 is in this form with m = 5

Given a line with slope m then the slope of a line perpendicular to it is

perpendicular slope = -
(1)/(m) = -
(1)/(5)

the only equation from the list with this slope is equation D



User Mojisola
by
6.7k points
3 votes

perpendicular lies have negative reciprocal slopes

M=5 so m=-1/5

Choice D

User Benjamin Crouzier
by
5.6k points