Question

I need the answer , help me pls

Answer 1

Answer:

$\large \boxed{y = - \frac{2}{3} x + 2}$

Step-by-step explanation:

both slopes multiply each others must equal to -1 for perpendicular.

$\large{m_1m_2 = - 1}$

Let m1 = 3/2

$\large{ \frac{3}{2} m_2 = - 1} \\ \large{3m_2 = - 2} \\ \large{m_2 = - \frac{2}{3} }$

Therefore -2/3 is perpendicular to 3/2. Because the line passes through (6,-2)

$\large{y - y_1 = m(x - x_1)}$

Given (x1, y1) = ordered pair

Therefore (x1, y1) = (6,-2)

and m = - 2/3

$\large{y + 2 = - \frac{2}{3} (x - 6)}$

Write in slope-intercept form.

$\large{y = - \frac{2}{3} x + 4 - 2} \\ \large{y = - \frac{2}{3}x + 2}$