Answer:
F ( x ) = 1 . 75 x + b
Explanation:
Assuming that you are asking for a:
Linear-Function the travels through the points of ( 4 , 10 ) and ( 8 , 17 )
First you must find the slope of the line, you find it with this formula:
M = ( Y2 - Y1 ) / ( X2 - X1 )
When we input the values, the new equation is:
M = ( 17 - 10 ) / ( 8 - 4 )
Now we can simplify it into:
M = ( 7 ) / ( 4 )
7 / 4 is also equivalent to: 1 . 75
We can now write out the Slope-Intercept form function:
F ( x ) = 1 . 75 x + b
To find the B value, we must input a set of points into the X and F(x).
I will be using ( 4 , 10 ) for this. The function is now:
10 = 1 . 75 (4) + b
When we simplify it, the function is now: 10 = 7 + b
In order for this function to be possible, b must be equal to 3!!!
This means that the final function will be:
F ( x ) = 1 . 75 x + 3