Question

Which equation is true for all the values in the table?

Output
-11
-5
1
7
C
Input
-2
0
2
4
Ay=2x-7
y=x-9
By=x-5
Dy=3x-5

Answer 1

D

Explanation:

the values in the table are linear and can be expressed in the form

y = mx + c

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 11) and (x₂, y₂ ) = (4, 7) ← 2 ordered pairs from the table

m =
`(7-(-11))/(4-(-2))` =
`(7+11)/(4+2)` =
`(18)/(6)` = 3 , then

y = 3x + c ← is the partial equation

to find c substitute any ordered pair from the table into the partial equation

using (2, 1 ) , then

1 = 6 + c ⇒ c = 1 - 6 = - 5

the equation representing the values in the table is then

y = 3x - 5