find another point on the line that is parallel to the given line and passes through the point (3,0)

Answer 1

Take the line given to you

Make sure it is in slop intercept form, which would be

Y = Mx + b

Your parallel line going through points (3,0) will share the same slope M.

In order for lines to be parallel they need to have equal slopes

Parallel line equation

Y = Mx + b'

b' = y-intercept of the parallel line. Need to find this given points (3,0)

Set points (3,0) to equation Y = Mx+b'

0 = M(3) + b'

b' = -M(3)

Now sub in

Y = Mx + (-3M)

That is your equation of the parallel line.

Plug in the slope given and that will be your answer!