Question

Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answer 1

ANSWER

The equation is


`y = 4x`

Step-by-step explanation


The given function goes through the origin so its equation is of the form


`y = mx`


where m is the slope of the graph of the function.



Since the straight line goes through



`(0,0) \: and \: (2,8)`

we can use these points to determine the slope using the slope formula


`m = (y_2-y_1)/(x_2-x_1)`

This implies that,


`m = (8 - 0)/(2 - 0)`


`m = (8)/(2) = 4`


We substitute the slope into the formula to get,


`y = 4x`
as the required equation.

Therefore the correct answer is D.

Answer 2

Since the line goes through the points (0, 0) and (1, 4), the equation that applies is ...
y = 4x