Which equation represents a line which is parallel to the line 3, x, minus, y, equals, 63x−y=6?
Question
Which equation represents a line which is parallel to the line 3, x, minus, y, equals, 63x−y=6?
Solution
The equation of a line parallel to the line 3x - y = 6 would have the same slope as the given line.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to convert the given equation into slope-intercept form.
Starting with the given equation:
3x - y = 6
We can rewrite this as:
y = 3x - 6
From this, we can see that the slope (m) of the line is 3.
Therefore, any line parallel to this line would also have a slope of 3.
So, the equation of a line parallel to the given line could be written as:
y = 3x + b
where b is any real number.
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