Question

What's the equation of a straight line passing through the point (-3,-4) and perpendicular to the straight line 3x + 2y + 4= 0

Answer 1

Answer:

$2x - 3y = 6.$

Step-by-step explanation:

$2x - 3y = k \\ \\ this \: line \: passes \: through \: ( - 3 \: \: \: \: \: \: - 4) \\ \\ 2( - 3) - 3( - 4) = k \\ \\ - 6 + 12 = k \\ \: \: \\ k = 6 \\ \\ 2x - 3y = 6.$