Question

Find the value of k if the line y=kx + 4 goes straight through pointing (5,-9)

Answer 1

`k = -(13)/(5)\\`

Explanation:

All points on the line satisfies its corresponding linear equation. If the line,
`y = kx +4`, goes through the point,
`(5,-9)`, then
`x = 5` and
`y = -9` should satisfy the linear equation.

Solving for
`k`:

`y = kx +4 \\ -9 = k(5) +4 \\ -9 = 5k +4 \\ -9 -4 = 5k \\ 5k = -13 \\ k = (-13)/(5) \\ k = -(13)/(5)`