Question

How to solve this Algebra question?

Answer 1

• Slope formula:
  `(y_2-y_1)/(x_2-x_1)`

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8:
`(3k-4-k)/(5-(-2))=8`

Next, combine like terms:
`(2k-4)/(7)=8`

Next, multiply both sides by 7:
`2k-4=56`

Next, add 4 onto both sides of the equation:
`2k=60`

Lastly, divide both sides by 2 and your answer will be
`k=30`