Square efgh is drawn on a coordinate plane. diagonal fh is on the line y - 3= -1/3(x+9). what is the slope of the diagonal ge?
a.-1/3
b.1/3
c.-3
d.3

answer: option d.

step-by-step explanation:

the equation of the line in point-slope form is:

where "m" is the slope and is a point on the line.

knowing that diagonal fh is on the line:

we can observe that its slope is:

now, we need to remember that the diagonals of a square are perpendicular and, by definition, the slopes of perpendicular lines are negative reciprocal.

then, since the diagonal fh and the diagonal ge are perpendicular, we can conclude that the slope of the diagonal ge is:

ok

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a