Question

Line B passes through the points (5, 10) and (0, 0). What is the slope of the line perpendicular to line B?

Answer 1

-1/2x

Explanation:

Hey there! :)

Well to find the slope of line B we'll use the following formula.

`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

We'll use the points (0,0) and (5,10),

10 - 0 = 10

5 - 0 = 5

Slope = 2x

The slopes of 2 perpendicular lines are reciprocals of each other,

meaning if the slope of line B is 2x then its perpendicular lines slope is -1/2x.

Hope this helps :)

Answer 2

The line that is perpendicular to B has a slope of -1/2

Explanation:

First find the slope of line B

m = ( y2-y1)/(x2-x1)

= (10-0)/(5-0)

= 10/5

= 2

Lines that are perpendicular have slopes that multiply to -1

m * 2 = -1

m = -1/2

The line that is perpendicular to B has a slope of -1/2