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amm1812
3 years ago
7

Square EFGH is drawn on a coordinate plane. Diagonal GE is on the line y-3=3(x+4). What is the slope of diagonal FH?

Mathematics
2 answers:
alex41 [277]3 years ago
7 0

Answer:

-1/3

Step-by-step explanation:

took test

vova2212 [387]3 years ago
5 0

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 3 (x + 4) ← is in point- slope form

with slope m = 3

The diagonals of a square are perpendicular to each other.

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}

Thus the slope of FH is - \frac{1}{3}

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