The table shows a linear function.
which equation represents the function?
f(x)=−53x+9
f(x)=9x+53
f(x)=53x+9
f(x)=−53x−9
x f(x)
−6 −1
−3 4
0 9
3 14

Step-by-step explanation:

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept → (0, b)

The formula of a slope:

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

Finally:

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 would be c:   ax + b = ax + c

step-by-step explanation: