Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(0, -8) and (-5,4)

Answer 1

X1= 0
Y1= -8
X2= -5
Y2= 4

M=(y2-y1)/(x2-x1)
M= (4- -8)/(-5-0)
M= (4+8)/(-5-0)
M= (12)/(-5)
M= -2.4

Answer 2

13 units

Explanation:

Calculate the distance using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (- 5, 4)

d =
`√((-5-0)^2+(4-(-8))^2)`

=
`√((-5)^2+(4+8)^2)`

=
`√(25+12^2)`

=
`√(25+144)`

=
`√(169)`

= 13