Question

HELP PLS! Which function rule represents the data in the table below?

Answer 1

y = 5x - 10

Explanation:

we can express the rule in slope- intercept form

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

calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (1, - 5) ← 2 ordered pairs from the table

m =
`(-5-0)/(1-2)` =
`(-5)/(-1)` = 5

the y- intercept is the value of y when x = 0 ⇒ c = - 10

y = - 5x - 10 ← function rule

Answer 2

Y = 5x - 10

Explanation:

we will use the x value (-2) to find its y value

y = 5x - 10

y = 5(-2) - 10

y = - 10 -10

y = -20

Also,we will use the x value (-1) to find its y value

y = 5x -10

y = 5(-1) - 10

y = - 5 - 10

y = -15 ....