Question

Find the value of R so the line that passes through each pair of points has the given slope (-4,r) and (-8,3). M= -5

Answer 1

Answer:
`r = -17`

Explanation:

The formula for calculating slope is given as:

`m = (y_(2)-y_(1))/(x_(2)-x_(1))`

From the question

`m = -5`

`x_(1) = -4`

`x_(2) = -8`

`y_(1) = r`

`y_(2) = 3`

substituting into the formula , we have :

`-5 = (3-r)/(-8-(-4))`

`-5 = (3-r)/(-8+4)`

`-5 = (3-r)/(-4)`

multiplying through by -4 , we have:

`20 = 3-r`

add r to both sides

`20+r= 3`

subtract 20 from both sides

`r = -17`