Question 40796
3x - 4y = 9
-4y = -3x + 9
y = (3/4)x - (9/4)
The slope is (3/4). We want perpendicular, so we take the opposite of the recipricol to get (-4/3).
Use point-slope form:
{{{y - yp = m(x - xp)}}}
{{{y + 1 = (-4/3)(x + 2)}}}
{{{y = (-4/3)x - (11/3)}}}
{{{(4/3)x + y = -(11/3)}}}
{{{4x + 3y = -11}}}
{{{ graph( 300, 200, -6, 5, -10, 10, .75x - 2.25, -4x/3 - 11/3) }}}