| 2. On rectangle ABCD below, if A is located at (3, 4) and B is located at (7,6), is the slope

of BC ?

necal ve

rec

-2

Step-by-step explanation:

Given that:

A = (3, 4) ; B = (7, 6)

In triangle ABCD, AB and BC are Perpendicular lines :

Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)

y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3

Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2

To obtain the slope of BC:

RECALL:

product of the slope of 2 Perpendicular lines = - 1

Slope AB * Slope BC = - 1

1 / 2 * slope BC = - 1

Slope BC = - 1 ÷ 1/2

Slope BC = - 1 * 2/1

Slope BC = - 2

HENCE, slope of BC = - 2

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

whatvare the choices

step-by-step explanation: