What is the equation of the graph?

A. y=4x
B. y= 1/4x
C. y=-1/4x
D. y= -4x

y =4x

Step-by-step explanation:

First find the slope

We have point (0,0) and point (4,1)

The slope formula is

m = (y2-y1)/(x2-x1)

   = (4-0)/(1-0)

   = 4/1

The slope is 4

The y intercept is 0

The slope intercept form of the line is

y = mx+b  where m is the slope and b is the y intercept

y = 4x+0

y =4x

Answer B is the correct one:  y = (1/4)x

Step-by-step explanation:

This straight line passes through the origin, so the y-intercept (b) is zero (0).

Next, we see that the slope of the line is positive, so that eliminates answers C and D.

Finally, we see that the slope of the line is m = rise / run = 1/4; y increases by 1 each time x increases by 4.

Thus, Answer B is the correct one:  y = (1/4)x

the answer

b. they are parallel and will never intersect.