Question

write an equation for the line parallel to the line 6x=5 through point (9,-3)

Answer 1

6x = 5,
x = 5/6
this is just a coordinate, not a line.

Answer 2

not necessary. it means its a straight line. you know those types

Answer 3

would the answer just be x=5/6?

Answer 4

No. x=5/6 is a vertical line with infinite/undefined slope. The new line has to be parallel to the old line and therefore is also a vertical line with infinite/undefined slope. This new line must pass thru the point (9,-3). Please write the equation of this new line, based upon this information.

Answer 5

Would it be y=5/6x-3

Answer 6

I explained in my previous post that this new line would have an infinite (or undefined) slope, so that contradicts your y=(5/6)x - 3, which has slope (5/6). So, my response to your question is "no."

Answer 7

@margejean parallel lines have same slope and same equation except their intercept or constant will be different
6x=5
0=6x-5
its parallel line will have equation
0=6x+c
it is passing through (9,-3)
so put this in equation and find c
0=6*9+c
c=-54
so parallel line passine through (9,-3)
will be
0=6x-54
6x=54

Answer 8

or solve it further
6x=54
x=9