Answer: The equation of a line that is parallel to y=6x+7 and passes through (0,9) is y=6x+9.
Explanation:
The equation of given line is
The slope intercept form of a line is,
Where, m is slope and (0,b) is y intercept.
On comparing the given equation with slope intercept form we get,
The slope of the given line is 6.
Since the slope of parallel line are equal, therefore the slope of required line is 6.
The point slope form of a line.
The slope of required line is 6 and it passing through the point (0,9),
Therefore the equation of a line that is parallel to y=6x+7 and passes through (0,9) is y=6x+9.