Which line represents the direct variation equation y = 1/2 x?line a
line b
line c
line d

The line which represents the direct variation equation y = 1/2 x is: line c.

We know that every straight line has the equation

                y = (slope) x + (y-intercept) .

Here, we have, this line y = 1/2 x,

the equation doesn't show any y-intercept.  

The y-intercept is zero,

meaning that the line crosses the y-axis at the place where y=0.

That's the origin where the x- and y-axes cross.

so, we get, the line goes through the origin.

from the given graph we get,

There are only two lines there that go through the origin,

so one of those is the answer to the question.

Now, we have to find the slope of a line.

we know that,

If the slope of a line is positive, that means it rises as it goes.

If the slope of a line is negative, that means it falls as it goes.

The equation of the line is  [ y = 1/2 x ].

The slope is  1/2 .  

That's positive.

The line on the graph slopes up.  

so, we get,

In the picture, that can only be line 'c' .

Hence, The line which represents the direct variation equation y = 1/2 x is: line c.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

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