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What is the distance between (1,3) and (-2,4) on the coordinate plane, to the nearest tenth?

1 Answer

13 votes

Answer: 3.2 would be the correct answer.

Explanation:

Result

Distance: 3.1622776601684

Steps:

Distance (d) = √(-2 - 1)2 + (4 - 3)2

= √(-3)2 + (1)2

= √10

= 3.1622776601684

Slope and Angle:

ΔX = -2 – 1 = -3

ΔY = 4 – 3 = 1

Slope (m) =

ΔY

ΔX

=

1

-3

= -0.33333333333333

θ =

arctan( ΔY ) + 180°

ΔX

= 161.56505117708°

Equation of the line:

y = -0.33333333333333x + 3.3333333333333

or

y =

- 1 x

3

+ 10

3

When x=0, y = 3.3333333333333

When y=0, x = 10

X1 Y1

Point 1: (

1

3

)

X2 Y2

Point 2: (

-2

4

)

Calculate

User Dmitry Kurtaev
by
3.4k points