, 24.01.2020tesiabrown10

# Aline has a slope of -4/5 which ordered pairs could be points on a line that is perpendicular to this line?

The first pair (-2,0) and (2,5) and the last pair (2,-1) and (10,9)

Step-by-step explanation:

The perpendicular line has what is called a 'negative reciprocal slope'. This means you have to calculate -1 divided by the original slope.

For your line with slope -4/5, we're looking for a line with slope -1/(4/5) = 5/4.

Now we have to calculate the slope of each of the given pairs to find a match. We do this by dividing the y difference by the x difference.

(-2,0) and (2,5) -> slope is (5-0)/(2--2) = 5/4 Match!!

(-4,5) and (-3,4) -> slope is (4-5)/(-3--4) = -1/1 = -1 No match

(-3,4) and (2,0) -> slope is (0-4)/(2--3) = -4/5 No match

(1,-1) and (6,-5) -> slope is (-5--1)/(6-1) = -4/5 No match

(2,-1) and (10,9) -> slope is (9--1)/(10-2) = 10/8 = 5/4 Match!!

So the first and the last pairs are on perpendicular lines (not necessarily the same lines, as there are infinite possible perpendicular lines)

The answer is A and E

Step-by-step explanation:

Step-by-step explanation:

Given that a  line has a slope of

For any line perpendicular to this line,

the slope of the line =

Let us check whether the given options satisfy this

a) (-2,0) and (2,5)... slope =

Yes true

b) (–4, 5) and (4, –5)... slope =

No not true.

c) (–3, 4) and (2, 0)

Slope =

No not true.

d) (1, –1) and (6, –5)

Slope =

No, not true.

e) (2, –1) and (10, 9)

Slope = 5/4

True.

e) (2, –1) and (10, 9)

Options A and Option E.

Step-by-step explanation:

A line has a slope of -4/5. Now a line perpendicular to this line will have the slope as

Therefore

Now we will find the slope with the help of points given in the options if they lie on the perpendicular line.

A).

B).

C).

D).

E).

Options A and E are the correct options.

C

Step-by-step explanation:

=(0-4)/(2+3)

=-4/5

A and E

Step-by-step explanation:

A line has a slope of -4/5, then a perpendicular line has a slope 5/4, because

Find the slopes of the lines in all options:

A. True

B. False

C. False

D. False

E. True

options A & E

Step-by-step explanation:

Im pretty sure it answer options 1 and 5

Step-by-step explanation: 1) (-2,0) and (2,5)      5) (2,-1) and (10,9)

its on edg.

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