Question

What's the linear relationship for this im stuck

Answer 1

slope = 15

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (2, 21) ← 2 ordered pairs from the table

m =
`(21-6)/(2-1)` =
`(15)/(1)` = 15

the linear relationship is then of the form

y = mx + c ( m is the slope and c the y- intercept )

from the table the point (0, - 9 ) crosses the y- axis at - 9 ⇒ c = - 9

y = 15x - 9 ← linear relationship