A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.
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.
Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,
y = mx + c
0 = (1/6)(-1) + c
0 = -1/6 + c
c = 1/6
Now, the equation of the line can be written as,
y = (1/6)x + (1/6)
y = (x/6) + (1/6)
y = (x+1)/6
6y = x + 1
Hence, the equation of the given line is 6y=x+1.
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