Question

identify the relationship between the graphs of these two equations. 3y = -4x - 4 -4y = -3x - 5 click on the correct answer. parallel perpendicular neither

Explanation:

Step1: Find slopes of lines

For \(3y = -4x - 4\), solve for \(y\): \(y=\frac{-4}{3}x-\frac{4}{3}\), slope \(m_1 = -\frac{4}{3}\).
For \(-4y = -3x - 5\), solve for \(y\): \(y=\frac{3}{4}x+\frac{5}{4}\), slope \(m_2=\frac{3}{4}\).

Step2: Check slope product

Multiply slopes: \(m_1\times m_2=-\frac{4}{3}\times\frac{3}{4}=-1\).
If product of slopes is \(-1\), lines are perpendicular.

Answer:

perpendicular