The given points are
[tex] P(4,1) , Q(3,-5) [/tex]
First we find the slope using slope formula which is
[tex] m= \frac{y_{2} - y_{1}}{x_{2}- x_{1}} [/tex]
Substituting the values of x1,y1 and x2, y2, we will get
[tex] m = \frac{-5-1}{3-4} = 6 [/tex]
Now we use slope point form, which is
[tex] y-y_{1} = m (x-x_{1}) [/tex]
Using the values of m,x1 and y1, we will get
[tex] y-1=6(x-4) \\
y-1=6x-24 \\
y = 6x-23 [/tex]