write an equation of the line that is parallel to the given line and passes through the given point.
y=9x passing through (0,-5)
To find the equation of a line that is parallel to the given line y = 9x and passes through the point (0, -5), we can use the fact that parallel lines have the same slope.
The given line has a slope of 9, so the parallel line will also have a slope of 9.
Using the point-slope form of a linear equation, the equation of the line can be written as:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the given point.
Since the given point is (0, -5), the equation becomes:
y - (-5) = 9(x - 0)
Simplifying further:
y + 5 = 9x
This is the equation of the line that is parallel to y = 9x and passes through the point (0, -5).