Which pair of lines are perpendicular lines? OA. y = 4x - 6 y = 4r +11 OB. y = -4x - 6 y = 4x + 11 O c. y = 1/4 - 6 y = 4x +11 OD. y=-**-6 x - 6 y = 4x + 11

Since the product of their slope is -1, hence the equation y = -1/4 x - 6 and y = 4x + 11 are perpendicular. Option D is correc.=t

For two lines to be perpendicular, the product of their slope must be -1.

The standard equation of a line in slope-intercept form is expressed as

y = mx +b

m is the slope

b is the y-intercept

Check the option D,

For the equation y = -1/4 x - 6, the slope is -1/4

For the equation y = 4x + 11, the slope is 4

Taking the product of their slope;

Product = -1/4 * 4

Product  = -1

Since the product of their slope is -1, hence the equation y = -1/4 x - 6 and y = 4x + 11 are perpendicular

Learn more here: link

Option (D)

Step-by-step explanation:

We will use the property of perpendicular lines to solve this question.

If the two lines having slopes and are perpendicular,

Given lines are,

Option (A).

y = 4x - 6

y = 4x + 11

Lines are not the perpendicular lines.

Option (B).

y = -4x - 6

y = 4x + 11

Lines are not perpendicular.

Option (C).

y =

y = 4x + 11

Therefore, lines are not perpendicular.

Option (D).

y =

y = 4x + 11

Therefore, both the lines are perpendicular.

Option (D) is the answer.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

; )

step-by-step explanation: ; )