Given the point (3,4) and the slope of 6, find y when x =27

1) we find out the equation of the line.
Given a point (x₀,y₀) and the slope m, the slope-point form is:

y-y₀=m(x-x₀)

Data:
(3,4)
m=6

Therefore:

y-4=6(x-3)
y-4=6x-18
y=6x-18+4
y=6x-14

2) we find out y, when x=27
y=6*(27)-14
y=162-14
y=148

When x=27, then y=148.