Question 85192
First convert {{{2x-y = 3}}} into slope-intercept form


*[invoke converting_linear_equations "standard_to_slope-intercept", 2, -1, 3, 2, 1]



a.
*[invoke equation_parallel_or_perpendicular "parallel", 2, -3, 1, -2]



b.
*[invoke equation_parallel_or_perpendicular "perpendicular", 2, -3, 1, -2]



c.
So here are all three graphs


{{{ graph( 500, 500, -10, 10, -10, 10, 2x-3, 2x-4,(-1/2)x-3/2) }}} graph of {{{2x-3}}} (red), {{{2x-4}}} (green), and {{{(-1/2)x-3/2)}}} (black)