Question

Find the slope, distance and midpoint between

the two points (7, 14) and (4, 2). Round to the
nearest tenth.

Answer 1

Slope- 4

Distance- 12.4

Midpoint- (6,8)

Explanation:

Slope-
`(y2-y1)/(x2-x1)`

`(2-14)/(4-7) =(-12)/(-3)=4`

Distance-
`d = √((x_2 - x_1)^2 + (y_2-y_1)^2)`

`d = √((4 - 7)^2 + (2-14)^2)`

`d = √(-3^2 + -12^2)`
`d = √(144+9)=√(153)`

`√(153) = 12.4`

Midpoint-
`(x1+x2)/(2) ,(y1+y2)/(2)`

`(7+4)/(2) =(12)/(2) = 6=x`

`(14+2)/(2) = (16)/(2) = 8 = y`

(6,8)