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)

1 answer

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).
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