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Step-5

Title: Slope & Line Segment

Grade: 8-a Lesson: S1-L4

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the length of the line segment between points P(8,5) and Q(4,3).
2	Step	Let us the given points (x1 , y1) & (x2 , y2)	(8 , 5) & (4 , 3)
3	Formula:	Distance	\$√(x2-x1)^2 + (y2 - y1)^2\$
4	Step	Substitute the values	\$√(4 - 8)^2 + (3 - 5)^2\$
5	Step	After subtraction	\$= √(-4)^2 + (-2)^2\$ \$√16+ 4\$
6	Step	After simplification	\$√20\$
7	Step	So, the length of the line segment between points (8, 5) and (4, 3) is	\$√20\$
8		Answer	A

Step

Type

Explanation

Answer

Problem

Find the length of the line segment between points P(8,5) and Q(4,3).

Step

Let us the given points (x1 , y1) & (x2 , y2)

(8 , 5) & (4 , 3)

Formula:

Distance

\$√(x2-x1)^2 + (y2 - y1)^2\$

Step

Substitute the values

\$√(4 - 8)^2 + (3 - 5)^2\$

Step

After subtraction

\$= √(-4)^2 + (-2)^2\$

\$√16+ 4\$

Step

After simplification

\$√20\$

Step

So, the length of the line segment between points (8, 5) and (4, 3) is

\$√20\$

Answer