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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 ?

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 ju class=

Respuesta :

semsee45

Answer:

y = 2x - 3

Step-by-step explanation:

Let (2, 1) = [tex](x_1,y_1)[/tex]

Let (4, 5) = [tex](x_2,y_2)[/tex]

Slope formula:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies m=\dfrac{5-1}{4-2}=2[/tex]

Equation of a line, point-slope formula:  [tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-1=2(x-2)\\\\\implies y=2x-3[/tex]