What is the slope of a line that is perpendicular to 2x-5y=3?

1 Answer
F ยท LM
Nov 6, 2017

-5/2

Explanation:

The slope of the given line can be determined by writing the equation in its slope-intercept form.

2x-5y=3

-5y=3-2x

y = -3/5 + (2x)/5
y=2/5x - 3/5

The slope of the given line is 2/5

The slope of the line perpendicular to the given line is equal to the negative reciprocal of the slope of the given line.

negative reciprocal of n = (-1)/n

negative reciprocal of 2/5 = (-1)/(2/5)
-1/1 div 2/5

= -1/1 * 5/2

-5/2