A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is D.
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 a 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 the y-intercept.
As it can be seen that the trend line passes through two points (1,6) and (6,0). Therefore, the slope of the line can be written as,
m = (0-6)/(6-1) = -6/5
Now, if any one of the points is substituted in the general equation of the line, then,
y = -(6/5)x + c
6 = -(6/5)1 + C
C = 36/5
Thus, the equation of the line will become y=-(6/5)x + (36/5).
Hence, the correct option is D.
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