Answer:
y-6=(3/2)(x+6)
Step-by-step explanation:
Given:
- slope = m = 3/2
- point = (x1,y1) = (-6,6)
Point-Slope:
[tex]\displaystyle \large{y-y_1=m(x-x_1)}[/tex]
Substitute m = 3/2, x1 = -6 and y1 = 6:
[tex]\displaystyle \large{y-6=\dfrac{3}{2}[x-(-6)]}\\\displaystyle \large{y-6=\dfrac{3}{2}(x+6)}[/tex]
Therefore, the equation is y-6=3/2(x+6)
