Question

identify the relationship between the graphs of these two equations.
5y = 2x - 5
2y = -5x + 2
click on the correct answer.
parallel
perpendicular
neither

Explanation:

Step1: Find slopes of both lines

For the first equation \(5y = 2x - 5\), divide by 5: \(y=\frac{2}{5}x - 1\). Slope \(m_1=\frac{2}{5}\).
For the second equation \(2y=-5x + 2\), divide by 2: \(y =-\frac{5}{2}x+1\). Slope \(m_2 =-\frac{5}{2}\).

Step2: Check slope relationship

Multiply slopes: \(m_1\times m_2=\frac{2}{5}\times(-\frac{5}{2})=- 1\). When product of slopes is \(-1\), lines are perpendicular.

Answer:

perpendicular