Question

PLEASE HELP! What is the equation of this line? y = 2x y=−12x y=12x y=−2x Graph of a line passing through the origin and the point begin ordered pair 2 comma 4 end ordered pair

Answer 1

we know that

The line passing through the origin $(0,0)$ and the point $(2,4)$

If the equation of the line passes through the origin

then

the equation of the line represent a direct variation

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

The constant k is equal to the slope m

with the point $(2,4)$ find the constant of proportionality k

$y/x=k$

substitute

$4/2=k$

$k=2$

The linear equation is equal to

$y=2x$

therefore

the answer is

$y=2x$