Question

What is the equation of the line graphed below? (3,-1) A. y=1/3x B. y=x C. y=-3x D. y=- 1/3x

Answer 1

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the question is mentioned below.

If we look the function given below then it can be observed that the given graph is linear. Also, the line passes through (0,0) and (3,1).

The slope of the line is,

Slope, m = (1-0)/(3-0) = 1/3

The y-intercept of the line is at the origin. Thus, the equation can be written as,

y = (1/3)x + 0

y = (1/3)x

Hence, the correct option is A.

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