Question 178379
{{{y = -(1/2)*x + 4}}}
When an equation has the form {{{y = mx + b}}},
{{{m}}} is the slope. Any other equation that
has the form {{{y = -(1/m)*x + b}}} will be
perpendicular to the 1st equation
In the given equation, {{{m = -(1/2)}}}
A perpendicular equation will have {{{m = -(-(1/(1/2)))}}}
{{{-(-(1/(1/2))) = 2}}} answer
To prove it, I'll plot
{{{y = -(1/2)*x + 4}}} and
{{{y = 2x - 3}}} (the {{{-3}}} could be any signed number)
{{{ graph( 500, 500, -10, 10, -10, 10, -(1/2)*x + 4, 2x - 3) }}}