Question

in the coordinate plane, what is the length of the line segment that connects points(4, -1) and (9, 7)?
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Answer 1

Solution:

To find the length between any 2 given points on a line segment in Coordinate plane apply distance formula.

In the given question,

Let the 2 points be:

• A (4, -1)
• B (9, 7)

$\sf{AB = \sqrt{(x _{2} - x_1)^{2} + (y_2 - y_1)^{2} } }$

$\dashrightarrow \: \: \sf{AB = \sqrt{(9 - 4)^{2} + {(7 - ( - 1))}^{2} } }$

$\dashrightarrow \: \: \sf{AB = \sqrt{ {5}^{2} + {(7 + 1)}^{2} } }$

$\dashrightarrow \: \: \sf{AB = \sqrt{ {5}^{2} + {8}^{2} } }$

$\dashrightarrow \: \: \sf{AB = \sqrt{25 + 64} }$

$\dashrightarrow \: \: \sf{AB = \sqrt{89} }$

$\dashrightarrow \: \: \boxed{ \bf{AB = 9.434 \: cm }}$

∴ AB = 9.434 cm

KNOW MORE:

• For finding the midpoint between 2 points apply Midpoint formula for X axis and Y axis separately.

Midpoint formula: 『(x₁ + x₂) ÷ 2』, 『(y₁ + y₂) ÷ 2』