Write a linear function with the values f(6)=8 and f(9)=3
*PLEASE HELP IM SO LOST*

y = -5x/3 + 18

Step-by-step explanation:

The points can be written as;

(x,f(x))

where f(x) is same as y

So the points we have are;

(6,8) and (9,3)

We start by finding the slope or the line connecting the points

m = y2-y1/x2-x1 = (3-8)/(9-6) = -5/3

So now we have the general form of a linear equation as

y = mx + b

where m is slope and b is y intercept

We already have slope and we want to calculate y-intercept

Simply substitute one of the points

(9,3) in this case

9 for x and 3 for y

we have ;

y = -5x/3 + c

3 = -15 + c

c = 18

So the line equation is;

y = -5x/3 + 18

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct