# Is the graph of y = 4/3x-2 perpendicular to the graph of y=-3/4x+2?

May 25, 2018

As color(green)(m_2 = -1/ m_1, given two lines are perpendicular to each other.

#### Explanation:

$y = \left(\frac{4}{3}\right) x - 2$

Slope-intercept form of equation is $y = m x + c$

Slope of the line ${m}_{1} = \frac{4}{3}$

Equation of second line is $y = - \left(\frac{3}{4}\right) x + 2$

Slope of second line is ${m}_{2} = - \left(\frac{3}{4}\right)$

As ${m}_{2} = - \frac{1}{m} _ 1$, given two lines are perpendicular to each other.