Question

8. Line AB passes through A(-2,4) and B(-8,-6).

Line PT passes through P(3,-1) and T(8,-2).
a) Calculate the slopes of both lines. Show all
work.

Answer 1

AB :
`(5)/(3)`

PT :
`-(1)/(5)`

Explanation:

The line AB passes through A(-2,4) and B(-8,-6) points.

Therefore, the slope of the line AB will be
`(4-(-6))/(-2-(-8)) =(5)/(3)` (Answer)

Again line PT passes through P(3,-1) and T(8,-2) points.

Therefore, the slope of the line PT will be
`(-1-(-2))/(3-8) =-(1)/(5)`. (Answer)

Here we have applied the formula of slope of a straight line passing through the points
`(x_(1),y_(1))` and
`(x_(2),y_(2)  )` as given by
`(y_(1)-y_(2)  )/(x_(1)-x_(2)  )`.