Question

What is the equation of the line parallel to the line 5x-2x = 7 through the ordered pair (6, 0)?

Answer 1

The equation is 5x-2x=7
This is equal to 3x=7
=> x=7/3
this equation is parallel to the y axis as it is in the form x=a
now the other equation that is parallel to it is also parallel to y axis and will be in the form x=a

We know that the x cordinate is supposed to be 6 as the mentioned in question that the line should pass through(6,0)

so x=6 and this is the you required equation. this is the answer.

Answer 2

to have a line you need 2 variables, f(x,y)=5x-2y=7
So a parallel line to that must have same slope, diferent point
\[f_{//} (x,y) = 5x-2y = something\ called:\ contour\ line\ "C"\]
So \[f(6,0) = 5·6 -2·0 =C \]
Then C=30
SOOOO
your new line is
f(x,y)=5x-2y=30 ta da!

Note. the slope is the number next to each variable. 5 for X, and -2 for Y
Really is \[5=d f(x,y)/dx \ \ ,\ -2=d f(x,y)/dy\]
i'm trying this page for first (maybe unique) time, i put a random question, don't expect a response :P