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1 answer:
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (8, - 3) and (x₂, y₂ ) = (2, 6)
m = =
= -
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The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y = 5 - 2x , that is
y = - 2x + 5 ← in slope- intercept form
with slope m = - 2
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It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
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