Respuesta :

Answer:

slope = - [tex]\frac{1}{3}[/tex]

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

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]

Thus the slope of FH is - [tex]\frac{1}{3}[/tex]

The slope of the diagonal FH should be -1 by 3.

  • the calculation is as follows;

The b of a line in point- slope form should be

y - b = m(x - a)

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

Now

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

with slope m = 3

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