Question

Find the equation of the line.
parallel to the x-axis, passing through (3,-6)

Answer 1

it is parallel to the x-axis, so it will look like this:
the \(line\ will\ always\ pass\ through\ \large{y=-6}\), since it is parallel to the x-axis.
therefore the equation will be..?

Answer 2

wait

Answer 3

it also needs to include the formula: y=m(x-p)+q

Answer 4

sorry i forgot to mention that...

Answer 5

and by "it" i mean like the whole question

Answer 6

parrallel to x axis means line has slope =0

Answer 7

since it is \(parallel\ to\ the\ x-axis\), the slope(m) will be 0
\(y= 0(x-p)+q\\y=0(x-3)-6\\ y= ? \)

Answer 8

so standard equation
y=mx+c
with slope =0
y=c

Answer 9

so put the given point in equation
as no x term in equation ..so just plugged in the y value and calculate value of C

Answer 10

-6=c
so c=-6
as y=c=-6
so y=-6

Answer 11

ok what i've picked up is..
m=0 (p,q)=(3,-6)
y=0(x-3)-6

Answer 12

whats next..?

Answer 13

0x-3-6
right?

Answer 14

loll
0*x-0*3-6

Answer 15

y=0-0-6