math question math

Question

What is the equation of the line that passes through the point (4,8) and has a slope of 0

Answer 1

y=8 is the equation of the line with zero slope through the point (4,8)

slope zero means the y value never changes and is always 8 if it goes through (4,8)

or if you really want to go through the calculations with the slope intercept standard equation

y=mx + b with m=0

then

y = 0(x) + b plug in the point (4,8) x=4, y=8

8 = 0(4) + b = 0 + b = b

b=8

y = 0(x) + 8 = 0 +8 = 8

y = 8