Is this correct?
http://prntscr.com/d7u3cx

Question

Is this correct?
http://prntscr.com/d7u3cx

solomonzelman · Answer

You want a parallel line, so your proportion between the variables (x and y coefficients) should not change. All you want to do is to shift the line down or up so that it passes through (4,0).

poto · Answer

okay.

solomonzelman · Answer

For what value of $\ell $ would $-3x+4y=\ell$ would pass through $(4,0)$ ?

solomonzelman · Answer

The line passes through (4,0)   iff   x=4 and y=0 is a solution to −3x+4y=ℓ.

poto · Answer

Does it have to be slope intercept form?

solomonzelman · Answer

I guess (from the format of the question) it can be ANY form, as long as it is the correct equation of the line.

solomonzelman · Answer

$\color{black}{  -3\color{red}{(4)}+4\color{red}{(0)}=\ell   }$
$\color{black}{  \ell ={\tiny~}?  }$

poto · Answer

y=3x+1

solomonzelman · Answer

don't change the x and y coefficients.

solomonzelman · Answer

Just find the vertical shift $\ell$ for which -3x+4y=$\ell$  goes through (x,y)=(4,0)

poto · Answer

I don't understand. It's asking for an equation?

solomonzelman · Answer

Yes, and to find the equation of a parallel line that goes through (4,0), we would have to know how much it is shifted from the origin in order to pass through (4,0).