Hello!
First, to find he value of b, we need to find the slope. We divide the difference in the y-values by the difference in the x-values as shown below.
[tex] \frac{17-9}{4-6} =-\frac{8}{2} = -4 [/tex]
Therefore, our slope is -4.
Now we will put our slope and a point from our line (6,9) into the equation and solve for b.
9=-4(6)+b
9=-24+b
b=33
Therefore, our final equation is shown below.
y=-4x+33
I hope this helps!
