Question

Which equation represents the relationship between x and y shown in the table?

help pls look at the picture it has the question and the answers giving to me i just don’t know what it is ?

Answer 1

y = 2x - 3

Explanation:

Let (2, 1) =
`(x_1,y_1)`

Let (4, 5) =
`(x_2,y_2)`

Slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

`\implies m=(5-1)/(4-2)=2`

Equation of a line, point-slope formula:
`y-y_1=m(x-x_1)`

`\implies y-1=2(x-2)\\\\\implies y=2x-3`