To find an equation of a line that is parallel to a given line, we need to find a line with the same slope.
The given equation is -2x + 6y = 18. We can rewrite it in slope-intercept form (y = mx + b) by isolating y:
6y = 2x + 18
Dividing all terms by 6, we get:
y = (2/6)x + 3
The slope of this line is 2/6, which simplifies to 1/3.
A line parallel to this one will also have a slope of 1/3.
An equation of a line with slope 1/3 can be written as y = (1/3)x + b, where b is the y-intercept.
Thus, any equation of a line in the form y = (1/3)x + b will be parallel to the equation -2x + 6y = 18.
Which equation of a line is parallel to the equation -2× + 6y = 18?
1 answer