What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4= (x-6) and passes through the point (-2,-2)?

A) y=-2/3x-10/3
B) y=-2/3x+10/3
C) y=3/2x-1
B) y=3/2x+1

y = -x - 4

Step-by-step explanation:

Compare the given y-4= +1(x-6) to y - k = m(x - h), where (h, k) is a point on that line.  We then know immediately that the slope of the given line is -1/1, or m = -1.  

A line perpendicular to this given line that also passes through (-2, -2) is then:

y + 2 = -1(x + 2), or y + 2 = -x - 2, or y = -x - 4

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.