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wolverine [178]
3 years ago
15

What is the slope of the line that passes through the points (10,5) and (9,5)? Write

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

slope of line is 0.

Step-by-step explanation:

Slope of a line passing through (x1,y1) and (x2,y2) is given by

m = (y2-y1)/(x2-x1)

Given points are  (10,5) and (9,5)

thus

slope = (5-5)/(9-10) = 0/-1 = 0

Thus, slope of line is 0.

When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.

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Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
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Thus triangles ABC and DBE are similar in the ratio 2:1

Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)

If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
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