Write the slope -intercept form of the equation of the line with slope m=2/5 and passes through the point (5,-1)

y=2/5x-3

Step-by-step explanation:

y=mx+b is slope intercept

m=slope so m=2/5

y=2/5x+b

then plug in coordinates of x and y (5,-1)

-1=2/5(5)+b

-1=2+b

-2+(-1)=b

b=-3

y=2/5x-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.

the answer is b