Hey there! :D
First, find the slope.
m= (y2-y1)/(x2-x1) I'm using points (0,3) and (1,5)
m=(5-3)/(1-0)
m= 2/1
m=2
Now, plug that into point slope. Use point (1,5) m=2
y-y1= m(x-x1)
y-5= 2(x-1)
Distribute.
y-5=2x-2
Add 5 to both sides.
y=2x+3 == equation of the line in slope intercept form. y=mx+b
I hope this helps!
~kaikers