Question

The points (0,k) and (1,4) fall on a line with a slope of 9. What is the value of k?

Answer 1

k = - 5

Explanation:

calculate the slope between the 2 points using the slope formula and equate to 9

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

with (x₁, y₁ ) = (0, k ) and (x₂, y₂ ) = (1, 4 )

m =
`(4-k)/(1-0)` =
`(4-k)/(1)` = 4 - k

then equating to 9

4 - k = 9 ( subtract 4 from both sides )

- k = 5 ( multiply both sides by - 1 )

k = - 5