Question

Find the equation of the line through (8,5) and parallel to the x-axis. Write the answer in general form (Ax + By + C = 0).

Answer 1

parallel line are two lines that are equal distance from each other




so our line is parallel to the x-axis, and goes through the point (8,5)

now, the equation of a line is y=mx+c
m is the gradient
c is just a constant

All lines parallel to the x axis have a gradient of 0, so m=0 so we have
we know that when x=8, y=5, since coordinates are (x,y) = (8,5)

so substitute these values into y=mx+c

5=0(8)+c
5=c=y

hence your equation is y=5
so you have y=0x+5
y-0x-5=0
y-5=0
take your pick of which answer suits your required format