Question

What is the slope of a line perpendicular to 3x + 4y = -2?What is the slope of a line perpendicular to 3x + 4y = -2?choice;4/33/4-3/4-4/3

Answer 1

Given

`3x+4y=-2`
`\begin{gathered} 4y=-3x-2 \\ \\ y=-(3)/(4)x-(1)/(2) \\ \\ m_1=-(3)/(4) \\ \end{gathered}`

When two lines are perpendicular to each other, the product of their slopes is -1. Thus;

`\begin{gathered} m_2=-(1)/(-(3)/(4)) \\ \\ m_2=(4)/(3) \end{gathered}`

ANSWER:

`(4)/(3)`