Question

Which equation represents a line parallel to the x-axis
1) x=5
2) y=10
3) x=1/3y
4) y=5x+17

Answer 1

paralell lines have same slope

paralell to x axis means slope of x axis=slope of line
slopt of x axis=rise/run, rise=0, run=infinity, so slope=0

y=mx+b
m=slope
if m=0,
y=0x+b
y=b

therefor the answer is an equation that is y=constant where there is no x


answer is 2) y=10