Aline has a slope of - 4/5. which ordered pairs could be points on a line that is perpendicular to this line? check all that apply.
a. (-2,0) and (2,5)
b. (-4,5) and (4,-5)
c. (-3,4) and (2,0)
d. (1,-1) and (6,-5)
e. (2,-1) and (10,9)

we know that

if two lines are perpendicular

then the product of their slopes is equal to minus one

so

in this problem we have

the value of m2 must be equal to

we know that

The formula to calculate the slope between two points is equal to

Find the slopes of each of ordered pairs and compare with m2

case a)

Substitute in the formula

The slope is equal to m2

so

The ordered pair case a)  could be points on a line that is perpendicular to the given  line

case b)

Substitute in the formula

The slope is not equal to m2

so

The ordered pair case b)  could not be points on a line that is perpendicular to the given  line

case c)

Substitute in the formula

The slope is not equal to m2

so

The ordered pair case c)  could not be points on a line that is perpendicular to the given  line

case d)

Substitute in the formula

The slope is not equal to m2

so

The ordered pair case d)  could not be points on a line that is perpendicular to the given  line

case e)

Substitute in the formula

The slope is equal to m2

so

The ordered pair case e)  could be points on a line that is perpendicular to the given  line

therefore

the answer is

The points on the line are:

Step-by-step explanation:

Given information:

The slope of the line = -4/5

Now as we know that the two lines are perpendicular

So,

So, the slope of the second line is :

Now , check for the options given:

And slope

(A) The slope of the line passing through the points (-2,0) and (2,5) is :

Hence the slope is equal to .

Similarly,

(B)The slope of the line passing through the points (-4,5) and (4,-5) is :

Hence the slope not is equal to .

(C) The slope of the line passing through the points (-3,4) and (2,0) is :

Hence the slope is not equal to .

(D) The slope of the line passing through the points (1,-1) and (6,5) is :

Hence the slope is not equal to .

(E) The slope of the line passing through the points (2,-1) and (10,9) is :

Hence the slope is equal to .

Hence, the points on the lines are:

For more information visit:

link

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: