Construct a function with a rate of change of 2/3 and an initial value of 4 (put your equation in slope-intercept form)

f(x) = 2/3x +4

Step-by-step explanation:

The initial value is another name for the y intercept, so b = 4

Rate of change is another name for slope so m = 2/3

We can use the equation y =mx+b

y = 2/3 x + 4

We want it in function form

f(x) = 2/3x +4

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.