You can
put this solution on YOUR website!It is not necessary to translate the second equation to a slope-intercept form.
You can simply take the equation "as is", -2x+3y=4 to find three value of tuple (x,y) so that it satisfies the above equation.
Since the euqation is linear, it will produce a staright line. Use two of the determined values to draw the line (for the equation) and use the third pair for verification purpose.
For example: x=1 makes y=2; x=4 makes y=4; and x=13 makes y=10
Plot two pairs of (x,y) on the graph paper and join them to produce a straight line. Verify that the third pair goes thru the same line.
It is as simple as this. Good luck.