Question

Find the distance between the points (-10, -9) and (-7, -1).

Answer 1

The distance is 8.5 because the 4 doesn’t round. Hope that helps.

Answer 2

Distance: 8.5440037453175

Explanation:

Distance: 8.5440037453175

Steps:

Distance (d) = √(-7 - -10)2 + (-1 - -9)2

= √(3)2 + (8)2

= √73

= 8.5440037453175

Slope and Angle:

ΔX = -7 – -10 = 3

ΔY = -1 – -9 = 8

Slope (m) =

ΔY

ΔX

=

8

3

= 2.6666666666667

θ =

arctan( ΔY )

ΔX

= 69.443954780417°

Equation of the line:

y = 2.6666666666667x + 17.666666666667

or

y =

8 x

3

+ 53

3

When x=0, y = 17.666666666667

When y=0, x = -6.625