we have that
points (1, 51) and (3, 83)
step 1
find the slope m
m=[83-51]/[3-1]----> m=32/2----> m=16
the slope m is 16
step 2
find the equation of the line with m=16 and (1, 51)
y-y1=m*(x-x1)-----> y-51=16*(x-1)----> y=16x-16+51----> y=16x+35
step 3
find the y intercept
we know that the y intercept is when x=0
so
for x=0
y=16x+35
y=35
the y intercept is the point (0,35)
