Question

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

Answer 1

Answer:

y = 2x - 3

Step-by-step explanation:

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

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

Slope formula:  $m=\dfrac{y_2-y_1}{x_2-x_1}$

$\implies m=\dfrac{5-1}{4-2}=2$

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

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