Question

URGENT!! 50 POINTS!!! based on the linear table of ordered pairs, what is the y intercept?

Answer 1

y- intercept = 0

Explanation:

the linear function can be expressed in slope- intercept form, that is

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 ) = (4, - 4) and (x₂, y₂ ) = (- 2, 2) ← 2 ordered pairs from the table

m =
`(2-(-4))/(-2-4)` =
`(2+4)/(-6)` =
`(6)/(-6)` = - 1

the line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - x + 0, that is

y = - x ← is the linear function defining the ordered pairs in the table