If a line passes through (2, 4) and (5,-4), what is the slope?

So the slope is -8/3

Step-by-step explanation:

to find the slope you have to use m = y2-y1/x2-x1

so lets plug in our numbers

m = - 4- 4/5-2

 = -8/3

So the slope is -8/3

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.