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:

282 6/7 cm^2

step-by-step explanation:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.