+0

Coordinates

0
143
1

The graphs of 2y + x + 3 = 0 and $3y + ax + 2 = y + 2x$ are perpendicular. Solve for $a.$

Oct 20, 2021

#1
+13721
+1

The graphs of 2y + x + 3 = 0 and 3y + ax + 2 = y + 2x are perpendicular. Solve for a.

Hello Guest!

$$y=-\dfrac{x}{2}-1.5\ |\ \color{blue}m_1=-\frac{1}{2}\\ 2y + (a-2)x + 2 = 0\\ y+\dfrac{(a-2)x}{2}+1=0$$

$$m_2=-\dfrac{1}{m_1}=2\\ \dfrac{a-2}{2}=2$$

$$a=-2$$

!

Oct 21, 2021