Question

Line A has an equation of y=-2/5x + 3. What is the slope of a line perpendicular

to this line? *
0 -2/5
2/5
5/2
-5/2

Answer 1

`(5)/(2)`

Explanation:

The equation of a line in slope- intercept form is

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

y = -
`(2)/(5)` x + 3 ← is in slope- intercept form

with slope m = -
`(2)/(5)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(2)/(5) )` =
`(5)/(2)`