Question

Could someone explain this? The answers are 3 ; 4 ( as said in the blanks) but how do I like solve it? yk what I mean?

Answer 1

see explanation

Explanation:

the relationship is linear and of the form

y = mx + c

to find m use the slope formula

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

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (5, 19) ← 2 ordered pairs from the table

m =
`(19-1)/(5-(-1))` =
`(18)/(5+1)` =
`(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 (4, 16 ) , then

16 = 3(4) + c = 12 + c ( subtract 12 from both sides )

4 = c

y = 3x + 4 ← equation of relationship