Question 1060214
point slope formula is y-y1=m (x-x1), m is the slope, (x1,y1) the point
y-5=(-4/3)(x+6), notice the + sign for x, since it is a minus of a minus.
y-5=((-4x/3)-8
y=-(4x/3)-3.  That is slope intercept form. The slope is (-4x/3) or -(4/3)x, the same thing.  The intercept is -3.
The point should work
5=(-4(-6))/3-3
5=8-3